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23,800 | The drift velocity then determines the electric current density and its relationship to E and is independent of the collisions. Drude calculated the average drift velocity from p = −"eEτ" where p is the average momentum, −"e" is the charge of the electron and τ is the average time between the collisions. Since both the... | https://en.wikipedia.org/wiki?curid=49090 |
23,801 | A hydraulic analogy is sometimes used to describe Ohm's law. Water pressure, measured by pascals (or PSI), is the analog of voltage because establishing a water pressure difference between two points along a (horizontal) pipe causes water to flow. The water volume flow rate, as in liters per second, is the analog of cu... | https://en.wikipedia.org/wiki?curid=49090 |
23,802 | Flow and pressure variables can be calculated in fluid flow network with the use of the hydraulic ohm analogy. The method can be applied to both steady and transient flow situations. In the linear laminar flow region, Poiseuille's law describes the hydraulic resistance of a pipe, but in the turbulent flow region the pr... | https://en.wikipedia.org/wiki?curid=49090 |
23,803 | The hydraulic analogy to Ohm's law has been used, for example, to approximate blood flow through the circulatory system. | https://en.wikipedia.org/wiki?curid=49090 |
23,804 | The interchangeability of the equation may be represented by a triangle, where "V" (voltage) is placed on the top section, the "I" (current) is placed to the left section, and the "R" (resistance) is placed to the right. The divider between the top and bottom sections indicates division (hence the division bar). | https://en.wikipedia.org/wiki?curid=49090 |
23,805 | Resistors are circuit elements that impede the passage of electric charge in agreement with Ohm's law, and are designed to have a specific resistance value "R". In schematic diagrams, a resistor is shown as a long rectangle or zig-zag symbol. An element (resistor or conductor) that behaves according to Ohm's law over s... | https://en.wikipedia.org/wiki?curid=49090 |
23,806 | Ohm's law holds for circuits containing only resistive elements (no capacitances or inductances) for all forms of driving voltage or current, regardless of whether the driving voltage or current is constant (DC) or time-varying such as AC. At any instant of time Ohm's law is valid for such circuits. | https://en.wikipedia.org/wiki?curid=49090 |
23,807 | Resistors which are in "series" or in "parallel" may be grouped together into a single "equivalent resistance" in order to apply Ohm's law in analyzing the circuit. | https://en.wikipedia.org/wiki?curid=49090 |
23,808 | When reactive elements such as capacitors, inductors, or transmission lines are involved in a circuit to which AC or time-varying voltage or current is applied, the relationship between voltage and current becomes the solution to a differential equation, so Ohm's law (as defined above) does not directly apply since tha... | https://en.wikipedia.org/wiki?curid=49090 |
23,809 | Equations for time-invariant AC circuits take the same form as Ohm's law. However, the variables are generalized to complex numbers and the current and voltage waveforms are complex exponentials. | https://en.wikipedia.org/wiki?curid=49090 |
23,810 | In this approach, a voltage or current waveform takes the form "Ae", where "t" is time, "s" is a complex parameter, and "A" is a complex scalar. In any linear time-invariant system, all of the currents and voltages can be expressed with the same "s" parameter as the input to the system, allowing the time-varying comple... | https://en.wikipedia.org/wiki?curid=49090 |
23,811 | The complex generalization of resistance is impedance, usually denoted "Z"; it can be shown that for an inductor, | https://en.wikipedia.org/wiki?curid=49090 |
23,812 | where "V" and "I" are the complex scalars in the voltage and current respectively and "Z" is the complex impedance. | https://en.wikipedia.org/wiki?curid=49090 |
23,813 | This form of Ohm's law, with "Z" taking the place of "R", generalizes the simpler form. When "Z" is complex, only the real part is responsible for dissipating heat. | https://en.wikipedia.org/wiki?curid=49090 |
23,814 | In a general AC circuit, "Z" varies strongly with the frequency parameter "s", and so also will the relationship between voltage and current. | https://en.wikipedia.org/wiki?curid=49090 |
23,815 | For the common case of a steady sinusoid, the "s" parameter is taken to be formula_15, corresponding to a complex sinusoid formula_16. The real parts of such complex current and voltage waveforms describe the actual sinusoidal currents and voltages in a circuit, which can be in different phases due to the different com... | https://en.wikipedia.org/wiki?curid=49090 |
23,816 | Ohm's law is one of the basic equations used in the analysis of electrical circuits. It applies to both metal conductors and circuit components (resistors) specifically made for this behaviour. Both are ubiquitous in electrical engineering. Materials and components that obey Ohm's law are described as "ohmic" which mea... | https://en.wikipedia.org/wiki?curid=49090 |
23,817 | In a true ohmic device, the same value of resistance will be calculated from "R" = "V"/"I" regardless of the value of the applied voltage "V". That is, the ratio of "V"/"I" is constant, and when current is plotted as a function of voltage the curve is "linear" (a straight line). If voltage is forced to some value "V", ... | https://en.wikipedia.org/wiki?curid=49090 |
23,818 | There are, however, components of electrical circuits which do not obey Ohm's law; that is, their relationship between current and voltage (their "I"–"V" curve) is "nonlinear" (or non-ohmic). An example is the p–n junction diode (curve at right). As seen in the figure, the current does not increase linearly with applie... | https://en.wikipedia.org/wiki?curid=49090 |
23,819 | Ohm's law has sometimes been stated as, "for a conductor in a given state, the electromotive force is proportional to the current produced." That is, that the resistance, the ratio of the applied electromotive force (or voltage) to the current, "does not vary with the current strength ." The qualifier "in a given state... | https://en.wikipedia.org/wiki?curid=49090 |
23,820 | Ohm's principle predicts the flow of electrical charge (i.e. current) in electrical conductors when subjected to the influence of voltage differences; Jean-Baptiste-Joseph Fourier's principle predicts the flow of heat in heat conductors when subjected to the influence of temperature differences. | https://en.wikipedia.org/wiki?curid=49090 |
23,821 | The same equation describes both phenomena, the equation's variables taking on different meanings in the two cases. Specifically, solving a heat conduction (Fourier) problem with "temperature" (the driving "force") and "flux of heat" (the rate of flow of the driven "quantity", i.e. heat energy) variables also solves an... | https://en.wikipedia.org/wiki?curid=49090 |
23,822 | The basis of Fourier's work was his clear conception and definition of thermal conductivity. He assumed that, all else being the same, the flux of heat is strictly proportional to the gradient of temperature. Although undoubtedly true for small temperature gradients, strictly proportional behavior will be lost when rea... | https://en.wikipedia.org/wiki?curid=49090 |
23,823 | A similar assumption is made in the statement of Ohm's law: other things being alike, the strength of the current at each point is proportional to the gradient of electric potential. The accuracy of the assumption that flow is proportional to the gradient is more readily tested, using modern measurement methods, for th... | https://en.wikipedia.org/wiki?curid=49090 |
23,824 | Ohm's law, in the form above, is an extremely useful equation in the field of electrical/electronic engineering because it describes how voltage, current and resistance are interrelated on a "macroscopic" level, that is, commonly, as circuit elements in an electrical circuit. Physicists who study the electrical propert... | https://en.wikipedia.org/wiki?curid=49090 |
23,825 | where "E" is the electric field vector with units of volts per meter (analogous to "V" of Ohm's law which has units of volts), "J" is the current density vector with units of amperes per unit area (analogous to "I" of Ohm's law which has units of amperes), and "ρ" (Greek "rho") is the resistivity with units of ohm·mete... | https://en.wikipedia.org/wiki?curid=49090 |
23,826 | with formula_20 the element of path along the integration of electric field vector E. If the applied E field is uniform and oriented along the length of the conductor as shown in the figure, then defining the voltage V in the usual convention of being opposite in direction to the field (see figure), and with the unders... | https://en.wikipedia.org/wiki?curid=49090 |
23,827 | Since the E field is uniform in the direction of wire length, for a conductor having uniformly consistent resistivity ρ, the current density J will also be uniform in any cross-sectional area and oriented in the direction of wire length, so we may write: | https://en.wikipedia.org/wiki?curid=49090 |
23,828 | Substituting the above 2 results (for "E" and "J" respectively) into the continuum form shown at the beginning of this section: | https://en.wikipedia.org/wiki?curid=49090 |
23,829 | where "l" is the length of the conductor in SI units of meters, "a" is the cross-sectional area (for a round wire "a" = "πr" if "r" is radius) in units of meters squared, and ρ is the resistivity in units of ohm·meters. | https://en.wikipedia.org/wiki?curid=49090 |
23,830 | After substitution of "R" from the above equation into the equation preceding it, the continuum form of Ohm's law for a uniform field (and uniform current density) oriented along the length of the conductor reduces to the more familiar form: | https://en.wikipedia.org/wiki?curid=49090 |
23,831 | A perfect crystal lattice, with low enough thermal motion and no deviations from periodic structure, would have no resistivity, but a real metal has crystallographic defects, impurities, multiple isotopes, and thermal motion of the atoms. Electrons scatter from all of these, resulting in resistance to their flow. | https://en.wikipedia.org/wiki?curid=49090 |
23,832 | The more complex generalized forms of Ohm's law are important to condensed matter physics, which studies the properties of matter and, in particular, its electronic structure. In broad terms, they fall under the topic of constitutive equations and the theory of transport coefficients. | https://en.wikipedia.org/wiki?curid=49090 |
23,833 | If an external B-field is present and the conductor is not at rest but moving at velocity v, then an extra term must be added to account for the current induced by the Lorentz force on the charge carriers. | https://en.wikipedia.org/wiki?curid=49090 |
23,834 | In the rest frame of the moving conductor this term drops out because v= 0. There is no contradiction because the electric field in the rest frame differs from the E-field in the lab frame: E′ = E + v×B. | https://en.wikipedia.org/wiki?curid=49090 |
23,835 | If the current J is alternating because the applied voltage or E-field varies in time, then reactance must be added to resistance to account for self-inductance, see electrical impedance. The reactance may be strong if the frequency is high or the conductor is coiled. | https://en.wikipedia.org/wiki?curid=49090 |
23,836 | In a conductive fluid, such as a plasma, there is a similar effect. Consider a fluid moving with the velocity formula_27 in a magnetic field formula_28. The relative motion induces an electric field formula_29 which exerts electric force on the charged particles giving rise to an electric current formula_30. The equati... | https://en.wikipedia.org/wiki?curid=49090 |
23,837 | where formula_33, formula_34 and formula_35 are the charge, mass and velocity of the electrons, respectively. Also, formula_36 is the frequency of collisions of the electrons with ions which have a velocity field formula_37. Since, the electron has a very small mass compared with that of ions, we can ignore the left ha... | https://en.wikipedia.org/wiki?curid=49090 |
23,838 | where we have used the definition of the current density, and also put formula_39 which is the electrical conductivity. This equation can also be equivalently written as | https://en.wikipedia.org/wiki?curid=49090 |
23,839 | where formula_41 is the electrical resistivity. It is also common to write formula_42 instead of formula_43 which can be confusing since it is the same notation used for the magnetic diffusivity defined as formula_44. | https://en.wikipedia.org/wiki?curid=49090 |
23,840 | Thomas Aquinas, OP (; ; 1225 – 7 March 1274) was an Italian Dominican friar and priest who was an influential philosopher, theologian and jurist in the tradition of scholasticism; he is known within the tradition as the , the , and the . The name "Aquinas" identifies his ancestral origins in the county of Aquino in pre... | https://en.wikipedia.org/wiki?curid=21490957 |
23,841 | Unlike many currents in the Catholic Church of the time, Thomas embraced several ideas put forward by Aristotle—whom he called "the Philosopher"—and attempted to synthesize Aristotelian philosophy with the principles of Christianity. | https://en.wikipedia.org/wiki?curid=21490957 |
23,842 | His best-known works are the "Disputed Questions on Truth" (1256–1259), the "Summa contra Gentiles" (1259–1265), and the unfinished but massively influential "Summa Theologica", or "Summa Theologiae" (1265–1274). His commentaries on Scripture and on Aristotle also form an important part of his body of work. Furthermore... | https://en.wikipedia.org/wiki?curid=21490957 |
23,843 | As a Doctor of the Church, Thomas Aquinas is considered one of the Catholic Church's greatest theologians and philosophers. Pope Benedict XV declared: "This (Dominican) Order... acquired new luster when the Church declared the teaching of Thomas to be her own and that Doctor, honored with the special praises of the Pon... | https://en.wikipedia.org/wiki?curid=21490957 |
23,844 | Thomas Aquinas was most likely born in the castle of Roccasecca, near Aquino, controlled at that time by the Kingdom of Sicily (in present-day Lazio, Italy), , According to some authors, he was born in the castle of his father, Landulf of Aquino. He was born to the most powerful branch of the family, and Landulf of Aqu... | https://en.wikipedia.org/wiki?curid=21490957 |
23,845 | At the age of five Thomas began his early education at Monte Cassino, but after the military conflict between the Emperor Frederick II and Pope Gregory IX spilled into the abbey in early 1239, Landulf and Theodora had Thomas enrolled at the "studium generale" (university) recently established by Frederick in Naples. Th... | https://en.wikipedia.org/wiki?curid=21490957 |
23,846 | At the age of nineteen Thomas resolved to join the Dominican Order, which had been founded about 30 years earlier. Thomas's change of heart did not please his family. In an attempt to prevent Theodora's interference in Thomas's choice, the Dominicans arranged to move Thomas to Rome, and from Rome, to Paris. However, wh... | https://en.wikipedia.org/wiki?curid=21490957 |
23,847 | Thomas was held prisoner for almost one year in the family castles at Monte San Giovanni and Roccasecca in an attempt to prevent him from assuming the Dominican habit and to push him into renouncing his new aspiration. Political concerns prevented the Pope from ordering Thomas's release, which had the effect of extendi... | https://en.wikipedia.org/wiki?curid=21490957 |
23,848 | Family members became desperate to dissuade Thomas, who remained determined to join the Dominicans. At one point, two of his brothers resorted to the measure of hiring a prostitute to seduce him. As included in the official records for his canonization, Thomas drove her away wielding a burning log—with which he inscrib... | https://en.wikipedia.org/wiki?curid=21490957 |
23,849 | By 1244, seeing that all her attempts to dissuade Thomas had failed, Theodora sought to save the family's dignity, arranging for Thomas to escape at night through his window. In her mind, a secret escape from detention was less damaging than an open surrender to the Dominicans. Thomas was sent first to Naples and then ... | https://en.wikipedia.org/wiki?curid=21490957 |
23,850 | In 1245, Thomas was sent to study at the Faculty of the Arts at the University of Paris, where he most likely met Dominican scholar Albertus Magnus, then the holder of the Chair of Theology at the College of St. James in Paris. When Albertus was sent by his superiors to teach at the new "studium generale" at Cologne in... | https://en.wikipedia.org/wiki?curid=21490957 |
23,851 | Thomas taught in Cologne as an apprentice professor ("baccalaureus biblicus"), instructing students on the books of the Old Testament and writing "Expositio super Isaiam ad litteram" ("Literal Commentary on Isaiah"), "Postilla super Ieremiam" ("Commentary on Jeremiah") and "Postilla super Threnos" ("Commentary on Lamen... | https://en.wikipedia.org/wiki?curid=21490957 |
23,852 | In the spring of 1256 Thomas was appointed regent master in theology at Paris and one of his first works upon assuming this office was "Contra impugnantes Dei cultum et religionem" ("Against Those Who Assail the Worship of God and Religion"), defending the mendicant orders, which had come under attack by William of Sai... | https://en.wikipedia.org/wiki?curid=21490957 |
23,853 | In 1259, Thomas completed his first regency at the "studium generale" and left Paris so that others in his order could gain this teaching experience. He returned to Naples where he was appointed as general preacher by the provincial chapter of 29 September 1260. In September 1261 he was called to Orvieto, where as conv... | https://en.wikipedia.org/wiki?curid=21490957 |
23,854 | In February 1265 the newly elected Pope Clement IV summoned Thomas to Rome to serve as papal theologian. This same year he was ordered by the Dominican Chapter of Agnani to teach at the "studium" "conventuale" at the Roman convent of Santa Sabina, founded some years before, in 1222. The "studium" at Santa Sabina now be... | https://en.wikipedia.org/wiki?curid=21490957 |
23,855 | While at the Santa Sabina "studium provinciale" Thomas began his most famous work, the "Summa Theologiae", which he conceived specifically suited to beginning students: "Because a doctor of Catholic truth ought not only to teach the proficient, but to him pertains also to instruct beginners. As the Apostle says in 1 Co... | https://en.wikipedia.org/wiki?curid=21490957 |
23,856 | In his position as head of the "studium", Thomas conducted a series of important disputations on the power of God, which he compiled into his "De potentia". Nicholas Brunacci [1240–1322] was among Thomas's students at the Santa Sabina "studium provinciale" and later at the Paris "studium generale". In November 1268 he ... | https://en.wikipedia.org/wiki?curid=21490957 |
23,857 | Thomas remained at the "studium" at Santa Sabina from 1265 until he was called back to Paris in 1268 for a second teaching regency. With his departure for Paris in 1268 and the passage of time the pedagogical activities of the "studium provinciale" at Santa Sabina were divided between two campuses. A new convent of the... | https://en.wikipedia.org/wiki?curid=21490957 |
23,858 | In 1268, the Dominican Order assigned Thomas to be regent master at the University of Paris for a second time, a position he held until the spring of 1272. Part of the reason for this sudden reassignment appears to have arisen from the rise of "Averroism" or "radical Aristotelianism" in the universities. In response to... | https://en.wikipedia.org/wiki?curid=21490957 |
23,859 | Disputes with some important Franciscans conspired to make his second regency much more difficult and troubled than the first. A year before Thomas re-assumed the regency at the 1266–67 Paris disputations, Franciscan master William of Baglione accused Thomas of encouraging Averroists, most likely counting him as one of... | https://en.wikipedia.org/wiki?curid=21490957 |
23,860 | In reality, Thomas was deeply disturbed by the spread of Averroism and was angered when he discovered Siger of Brabant teaching Averroistic interpretations of Aristotle to Parisian students. On 10 December 1270, the Bishop of Paris, Étienne Tempier, issued an edict condemning thirteen Aristotelian and Averroistic propo... | https://en.wikipedia.org/wiki?curid=21490957 |
23,861 | In 1272 Thomas took leave from the University of Paris when the Dominicans from his home province called upon him to establish a "studium generale" wherever he liked and staff it as he pleased. He chose to establish the institution in Naples, and moved there to take his post as regent master. He took his time at Naples... | https://en.wikipedia.org/wiki?curid=21490957 |
23,862 | Thomas has been traditionally ascribed with the ability to levitate. For example, G. K. Chesterton wrote that "His experiences included well-attested cases of levitation in ecstasy; and the Blessed Virgin appeared to him, comforting him with the welcome news that he would never be a Bishop." | https://en.wikipedia.org/wiki?curid=21490957 |
23,863 | It is traditionally held that on one occasion, in 1273 at the Dominican convent of Naples in the chapel of Saint Nicholas, after Matins, Thomas lingered and was seen by the sacristan Domenic of Caserta to be levitating in prayer with tears before an icon of the crucified Christ. Christ said to Thomas, "You have written... | https://en.wikipedia.org/wiki?curid=21490957 |
23,864 | On 6 December 1273, another mystical experience took place. While he was celebrating Mass, he experienced an unusually long ecstasy. Because of what he saw, he abandoned his routine and refused to dictate to his "socius" Reginald of Piperno. When Reginald begged him to get back to work, Thomas replied: "Reginald, I can... | https://en.wikipedia.org/wiki?curid=21490957 |
23,865 | In 1054, the Great Schism had occurred between the Catholic Church in the West, and the Eastern Orthodox Church. Looking to find a way to reunite the two, Pope Gregory X convened the Second Council of Lyon to be held on 1 May 1274 and summoned Thomas to attend. At the meeting, Thomas's work for Pope Urban IV concerning... | https://en.wikipedia.org/wiki?curid=21490957 |
23,866 | On his way to the council, riding on a donkey along the Appian Way, he struck his head on the branch of a fallen tree and became seriously ill again. He was then quickly escorted to Monte Cassino to convalesce. After resting for a while, he set out again, but stopped at the Cistercian Fossanova Abbey after again fallin... | https://en.wikipedia.org/wiki?curid=21490957 |
23,867 | In 1277 Étienne Tempier, the same bishop of Paris who had issued the condemnation of 1270, issued another more extensive condemnation. One aim of this condemnation was to clarify that God's absolute power transcended any principles of logic that Aristotle or Averroes might place on it. More specifically, it contained a... | https://en.wikipedia.org/wiki?curid=21490957 |
23,868 | In the "Divine Comedy", Dante sees the glorified soul of Thomas in the Heaven of the Sun with the other great exemplars of religious wisdom. Dante asserts that Thomas died by poisoning, on the order of Charles of Anjou; Villani cites this belief, and the "Anonimo Fiorentino" describes the crime and its motive. But the ... | https://en.wikipedia.org/wiki?curid=21490957 |
23,869 | Thomas's theology had begun its rise to prestige. Two centuries later, in 1567, Pope Pius V proclaimed St. Thomas Aquinas a Doctor of the Church and ranked his feast with those of the four great Latin fathers: Ambrose, Augustine of Hippo, Jerome and Gregory. At the Council of Trent, Thomas had the honor of having his "... | https://en.wikipedia.org/wiki?curid=21490957 |
23,870 | In his encyclical of 4 August 1879, "Aeterni Patris", Pope Leo XIII stated that Thomas Aquinas's theology was a definitive exposition of Catholic doctrine. Thus, he directed the clergy to take the teachings of Thomas as the basis of their theological positions. Leo XIII also decreed that all Catholic seminaries and uni... | https://en.wikipedia.org/wiki?curid=21490957 |
23,871 | When the devil's advocate at his canonization process objected that there were no miracles, one of the cardinals answered, ""—"there are as many miracles (in his life) as articles (in his "Summa")". Fifty years after Thomas's death, on 18 July 1323, Pope John XXII, seated in Avignon, pronounced Thomas a saint. | https://en.wikipedia.org/wiki?curid=21490957 |
23,872 | A monastery at Naples, near Naples Cathedral, shows a cell in which he supposedly lived. His remains were translated from Fossanova to the Church of the Jacobins in Toulouse on 28 January 1369. Between 1789 and 1974, they were held in the Basilique de Saint-Sernin, Toulouse. In 1974, they were returned to the Church of... | https://en.wikipedia.org/wiki?curid=21490957 |
23,873 | When he was canonized, his feast day was inserted in the General Roman Calendar for celebration on 7 March, the day of his death. Since this date commonly falls within Lent, the 1969 revision of the calendar moved his memorial to 28 January, the date of the translation of his relics to Church of the Jacobins, Toulouse. | https://en.wikipedia.org/wiki?curid=21490957 |
23,874 | Thomas Aquinas is honored with a feast day in some churches of the Anglican Communion with a Lesser Festival on 28 January. | https://en.wikipedia.org/wiki?curid=21490957 |
23,875 | Thomas Aquinas was a theologian and a Scholastic philosopher. However, he never considered himself a philosopher, and criticized philosophers, whom he saw as pagans, for always "falling short of the true and proper wisdom to be found in Christian revelation." With this in mind, Thomas did have respect for Aristotle, so... | https://en.wikipedia.org/wiki?curid=21490957 |
23,876 | Much of Thomas's work bears upon philosophical topics, and in this sense may be characterized as philosophical. His philosophical thought has exerted enormous influence on subsequent Christian theology, especially that of the Catholic Church, extending to Western philosophy in general. | https://en.wikipedia.org/wiki?curid=21490957 |
23,877 | Aquinas defines distributive justice as follows:[I]n distributive justice something is given to a private individual, in so far as what belongs to the whole is due to the part, and in a quantity that is proportionate to the importance of the position of that part in respect of the whole. Consequently in distributive ju... | https://en.wikipedia.org/wiki?curid=21490957 |
23,878 | "Social justice" is a term that arose in the 19th century in the writings of Luigi Taparelli, SJ, and it was his term for the reality Thomas Aquinas called "legal justice" or "general justice." Legal or social justice is the contribution from the individual to the common good. So for Aquinas, distributive justice goes ... | https://en.wikipedia.org/wiki?curid=21490957 |
23,879 | It is helpful to understand as well other related types of justice: if social justice is from the individual to the community, and distributive justice is from the community to the individual, there is also commutative justice (between two individuals, as in buying and selling, or stealing and returning) as well as ret... | https://en.wikipedia.org/wiki?curid=21490957 |
23,880 | In Summa Contra Gentiles, Book 3, Chapter 146, which was written by Aquinas prior to writing the Summa Theologica, St. Thomas was a vocal supporter of the death penalty. He stated: | https://en.wikipedia.org/wiki?curid=21490957 |
23,881 | Thomas Aquinas wrote several important commentaries on Aristotle's works, including "On the Soul", "On Interpretation", "Nicomachean Ethics", "Physics" and "Metaphysics". His work is associated with William of Moerbeke's translations of Aristotle from Greek into Latin. | https://en.wikipedia.org/wiki?curid=21490957 |
23,882 | Thomas Aquinas believed "that for the knowledge of any truth whatsoever man needs divine help, that the intellect may be moved by God to its act." However, he believed that human beings have the natural capacity to know many things without special divine revelation, even though such revelation occurs from time to time,... | https://en.wikipedia.org/wiki?curid=21490957 |
23,883 | Thomas was aware that the Albigensians and the Waldensians challenged moral precepts concerning marriage and ownership of private property and that challenges could ultimately be resolved only by logical arguments based on self-evident norms. He accordingly argued, in the Summa Theologiae, that just as the first princi... | https://en.wikipedia.org/wiki?curid=21490957 |
23,884 | This natural law precept prescribe doing and pursuing what reason knows is good while avoiding evil. Reason knows what is objectively good because the good is naturally beneficial and evil is the contrary. To explain goods that are naturally self-evident, Aquinas divides them into three categories: substantial goods of... | https://en.wikipedia.org/wiki?curid=21490957 |
23,885 | To will such natural goods to oneself and to others is to love. Accordingly, Aquinas states that the love precept obligating loving God and neighbor are "the first general principles of the natural law, and are self-evident to human reason, either through nature or through faith. Wherefore all the precepts of the decal... | https://en.wikipedia.org/wiki?curid=21490957 |
23,886 | To so focus on lovingly willing good is to focus natural law on acting virtuously. In his "Summa Theologiae", Aquinas wrote: | https://en.wikipedia.org/wiki?curid=21490957 |
23,887 | Thomas emphasized that "Synderesis is said to be the law of our mind, because it is a habit containing the precepts of the natural law, which are the first principles of human actions." | https://en.wikipedia.org/wiki?curid=21490957 |
23,888 | According to Thomas "...all acts of virtue are prescribed by the natural law: since each one's reason naturally dictates to him to act virtuously. But if we speak of virtuous acts, considered in themselves, i.e., in their proper species, thus not all virtuous acts are prescribed by the natural law: for many things are ... | https://en.wikipedia.org/wiki?curid=21490957 |
23,889 | Thomas defined the four cardinal virtues as prudence, temperance, justice, and fortitude. The cardinal virtues are natural and revealed in nature, and they are binding on everyone. There are, however, three theological virtues: faith, hope, and charity. Thomas also describes the virtues as imperfect (incomplete) and pe... | https://en.wikipedia.org/wiki?curid=21490957 |
23,890 | Thomas Aquinas wrote "[Greed] is a sin against God, just as all mortal sins, in as much as man condemns things eternal for the sake of temporal things." | https://en.wikipedia.org/wiki?curid=21490957 |
23,891 | Furthermore, in his "Treatise on Law", Thomas distinguished four kinds of law: eternal, natural, human, and divine. "Eternal law" is the decree of God that governs all creation: "That Law which is the Supreme Reason cannot be understood to be otherwise than unchangeable and eternal." "Natural law" is the human "partici... | https://en.wikipedia.org/wiki?curid=21490957 |
23,892 | Whether the natural law contains several precepts, or one only is explained by Thomas, "All the inclinations of any parts whatsoever of human nature, e.g., of the concupiscible and irascible parts, in so far as they are ruled by reason, belong to the natural law, and are reduced to one first precept, as stated above: s... | https://en.wikipedia.org/wiki?curid=21490957 |
23,893 | The desires to live and to procreate are counted by Thomas among those basic (natural) human values on which all human values are based. According to Thomas, all human tendencies are geared towards real human goods. In this case, the human nature in question is marriage, the total gift of oneself to another that ensure... | https://en.wikipedia.org/wiki?curid=21490957 |
23,894 | Concerning the Human Law, Thomas concludes, "...that just as, in the speculative reason, from naturally known indemonstrable principles, we draw the conclusions of the various sciences, the knowledge of which is not imparted to us by nature, but acquired by the efforts of reason, so to it is from the precepts of the na... | https://en.wikipedia.org/wiki?curid=21490957 |
23,895 | Natural and human law is not adequate alone. The need for human behavior to be directed made it necessary to have Divine law. Divine law is the specially revealed law in the scriptures. Thomas quotes, "The Apostle says (Hebrews 7.12): The priesthood being translated, it is necessary that a translation also be made of t... | https://en.wikipedia.org/wiki?curid=21490957 |
23,896 | Thomas Aquinas refers to animals as dumb and that the natural order has declared animals for man's use. Thomas denied that human beings have any duty of charity to animals because they are not persons. Otherwise, it would be unlawful to kill them for food. But humans should still be charitable to them, for "cruel habit... | https://en.wikipedia.org/wiki?curid=21490957 |
23,897 | Thomas contributed to economic thought as an aspect of ethics and justice. He dealt with the concept of a just price, normally its market price or a regulated price sufficient to cover seller costs of production. He argued it was immoral for sellers to raise their prices simply because buyers were in pressing need for ... | https://en.wikipedia.org/wiki?curid=21490957 |
23,898 | Thomas's theory of political order became highly influential. He sees man as a social being that lives in a community and interacts with its other members. That leads, among other things, to the division of labour. | https://en.wikipedia.org/wiki?curid=21490957 |
23,899 | Thomas made a distinction between a good man and a good citizen, which was important to the development of libertarian theory. That indicates, in the eyes of atheist libertarian writer George H. Smith, that the sphere of individual autonomy was one which the state could not interfere with. | https://en.wikipedia.org/wiki?curid=21490957 |
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