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George Paxton Young
George Paxton Young (9 Nov 1818 - 26 Feb 1889) was a Canadian philosopher and professor of logic, metaphysics and ethics at the University of Toronto The University of Toronto (UToronto or U of T) is a public research university in Toronto, Ontario, Canada, located on the grounds that surround Queen's Park. It was founded by royal charter in 1827 as King's College, the first institution .... He studied the quintic polynomial equation and in 1888 described how to solve a solvable quintic equation, without providing an explicit formula. George Paxton Young Memorial Prize The Department of Philosophy at the University of Toronto grants the George Paxton Young Memorial Prize annually to students who read a refereed philosophy paper at an international, national or regional philosophy conference. References Philosophy academics University of Toronto faculty Moral philosophers Political philosophers Kant scholars 1818 births 1889 deaths {{Canada-philosopher-st ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Western Philosophy
Western philosophy encompasses the philosophical thought and work of the Western world. Historically, the term refers to the philosophical thinking of Western culture, beginning with the ancient Greek philosophy of the pre-Socratics. The word ''philosophy'' itself originated from the Ancient Greek (φιλοσοφία), literally, "the love of wisdom" grc, φιλεῖν , "to love" and σοφία '' sophía'', "wisdom"). History Ancient The scope of ancient Western philosophy included the problems of philosophy as they are understood today; but it also included many other disciplines, such as pure mathematics and natural sciences such as physics, astronomy, and biology (Aristotle, for example, wrote on all of these topics). Pre-Socratics The pre-Socratic philosophers were interested in cosmology; the nature and origin of the universe, while rejecting mythical answers to such questions. They were specifically interested in the (the cause or first principle) of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Contemporary Philosophy
Contemporary philosophy is the present period in the history of Western philosophy beginning at the early 20th century with the increasing professionalization of the discipline and the rise of analytic and continental philosophy. The phrase "contemporary philosophy" is a piece of technical terminology in philosophy that refers to a specific period in the history of Western philosophy (namely the philosophy of the 20th and 21st centuries). However, the phrase is often confused with modern philosophy (which refers to an earlier period in Western philosophy), postmodern philosophy (which refers to some philosophers' criticisms of modern philosophy), and with a non-technical use of the phrase referring to any recent philosophic work. Professionalization Process Professionalization is the social process by which any trade or occupation establishes the group norms of conduct, acceptable qualifications for membership of the profession, a professional body or association to oversee ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Toronto
The University of Toronto (UToronto or U of T) is a public research university in Toronto, Ontario, Canada, located on the grounds that surround Queen's Park. It was founded by royal charter in 1827 as King's College, the first institution of higher learning in Upper Canada. Originally controlled by the Church of England, the university assumed its present name in 1850 upon becoming a secular institution. As a collegiate university, it comprises eleven colleges each with substantial autonomy on financial and institutional affairs and significant differences in character and history. The university maintains three campuses, the oldest of which, St. George, is located in downtown Toronto. The other two satellite campuses are located in Scarborough and Mississauga. The University of Toronto offers over 700 undergraduate and 200 graduate programs. In all major rankings, the university consistently ranks in the top ten public universities in the world and as the top university ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Boolean Algebra
In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables are the truth values ''true'' and ''false'', usually denoted 1 and 0, whereas in elementary algebra the values of the variables are numbers. Second, Boolean algebra uses logical operators such as conjunction (''and'') denoted as ∧, disjunction (''or'') denoted as ∨, and the negation (''not'') denoted as ¬. Elementary algebra, on the other hand, uses arithmetic operators such as addition, multiplication, subtraction and division. So Boolean algebra is a formal way of describing logical operations, in the same way that elementary algebra describes numerical operations. Boolean algebra was introduced by George Boole in his first book ''The Mathematical Analysis of Logic'' (1847), and set forth more fully in his '' An Investigation of the Laws of Thought'' (1854). According to Huntington, the term "Boolean algebra" wa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quintic Equations
In algebra, a quintic function is a function of the form :g(x)=ax^5+bx^4+cx^3+dx^2+ex+f,\, where , , , , and are members of a field, typically the rational numbers, the real numbers or the complex numbers, and is nonzero. In other words, a quintic function is defined by a polynomial of degree five. Because they have an odd degree, normal quintic functions appear similar to normal cubic functions when graphed, except they may possess one additional local maximum and one additional local minimum. The derivative of a quintic function is a quartic function. Setting and assuming produces a quintic equation of the form: :ax^5+bx^4+cx^3+dx^2+ex+f=0.\, Solving quintic equations in terms of radicals (''n''th roots) was a major problem in algebra from the 16th century, when cubic and quartic equations were solved, until the first half of the 19th century, when the impossibility of such a general solution was proved with the Abel–Ruffini theorem. Finding roots of a quintic equat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Abelian Functions
Abelian may refer to: Mathematics Group theory * Abelian group, a group in which the binary operation is commutative ** Category of abelian groups (Ab), has abelian groups as objects and group homomorphisms as morphisms * Metabelian group, a group where the commutator subgroup is abelian * Abelianisation Topology and number theory * Abelian variety, a complex torus that can be embedded into projective space * Abelian surface, a two-dimensional abelian variety * Abelian function, a meromorphic function on an abelian variety * Abelian integral, a function related to the indefinite integral of a differential of the first kind Other mathematics * Abelian category, in category theory, a preabelian category in which every monomorphism is a kernel and every epimorphism is a cokernel * Abelian and Tauberian theorems, in real analysis, used in the summation of divergent series * Abelian extension, in Galois theory, a field extension for which the associated Galois group is abelian * Abeli ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Charles Taylor (philosopher)
Charles Margrave Taylor (born November 5, 1931) is a Canadian philosopher from Montreal, Quebec, and professor emeritus at McGill University best known for his contributions to political philosophy, the philosophy of social science, the history of philosophy, and intellectual history. His work has earned him the Kyoto Prize, the Templeton Prize, the Berggruen Prize, Berggruen Prize for Philosophy, and the Kluge Prize, John W. Kluge Prize. In 2007, Taylor served with Gérard Bouchard on the Bouchard–Taylor Commission on reasonable accommodation with regard to cultural differences in the province of Quebec. He has also made contributions to moral philosophy, epistemology, hermeneutics, aesthetics, the philosophy of mind, the philosophy of language, and the philosophy of action. Biography Charles Margrave Taylor was born in Montreal, Quebec, on November 5, 1931, to a Roman Catholic Francophone mother and a Protestant Anglophone father by whom he was raised bilingually. His fath ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Philosophy Academics
Philosophy (from , ) is the systematized study of general and fundamental questions, such as those about existence, reason, knowledge, values, mind, and language. Such questions are often posed as problems to be studied or resolved. Some sources claim the term was coined by Pythagoras ( BCE), although this theory is disputed by some. Philosophical methods include questioning, critical discussion, rational argument, and systematic presentation. in . Historically, ''philosophy'' encompassed all bodies of knowledge and a practitioner was known as a ''philosopher''."The English word "philosophy" is first attested to , meaning "knowledge, body of knowledge." "natural philosophy," which began as a discipline in ancient India and Ancient Greece, encompasses astronomy, medicine, and physics. For example, Newton's 1687 ''Mathematical Principles of Natural Philosophy'' later became classified as a book of physics. In the 19th century, the growth of modern research universitie ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Toronto Faculty
A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, the designation is reserved for colleges that have a graduate school. The word ''university'' is derived from the Latin ''universitas magistrorum et scholarium'', which roughly means "community of teachers and scholars". The first universities were created in Europe by Catholic Church monks. The University of Bologna (''Università di Bologna''), founded in 1088, is the first university in the sense of: *Being a high degree-awarding institute. *Having independence from the ecclesiastic schools, although conducted by both clergy and non-clergy. *Using the word ''universitas'' (which was coined at its foundation). *Issuing secular and non-secular degrees: grammar, rhetoric, logic, theology, canon law, notarial law.Hunt Janin: "The university i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Moral Philosophers
Ethics or moral philosophy is a branch of philosophy that "involves systematizing, defending, and recommending concepts of right and wrong behavior".''Internet Encyclopedia of Philosophy'' The field of ethics, along with aesthetics, concerns matters of value; these fields comprise the branch of philosophy called axiology. Ethics seeks to resolve questions of human morality by defining concepts such as good and evil, right and wrong, virtue and vice, justice and crime. As a field of intellectual inquiry, moral philosophy is related to the fields of moral psychology, descriptive ethics, and value theory. Three major areas of study within ethics recognized today are: # Meta-ethics, concerning the theoretical meaning and reference of moral propositions, and how their truth values (if any) can be determined; # Normative ethics, concerning the practical means of determining a moral course of action; # Applied ethics, concerning what a person is obligated (or permitted) to do ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Political Philosophers
This is a list of notable political philosophers, including some who may be better known for their work in other areas of philosophy. The entries are in order by year of birth to show rough direction of influences and of development of political thought. Ancient (born before 550 CE) *Hammurabi (died c. 1750 BCE) *Confucius (551–479 BCE) *Socrates (470–399 BCE) *Mozi (470–390 BCE) *Xenophon (427–355 BCE) *Plato (427–347 BCE) *Diogenes of Sinope (412–323 BCE) *Aeschines (389–314 BCE) *Aristotle (384–322 BCE) *Mencius (372–289 BCE) *Chanakya (350–283 BCE) *Xun Zi (310–237 BCE) *Han Fei (c. 280–233 BCE) *Thiruvalluvar (c. 200 BCE–c. 30 BCE) *Cicero (106–43 BCE) *Pliny the Younger (63–113 CE) *Saint Augustine (354–430 CE) Medieval (born between 550 CE and 1450 CE) *Al-Farabi (870–950) *Al-Biruni (973–1050) *Ibn Sina (980–1037) *Al-Ghazali (1058–1111) *Hemachandra (1088–1173) *Ibn Rushd (1126–1198) *Al-Mawardi (972–1058) *Maimonides (1 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kant Scholars
Immanuel Kant (, , ; 22 April 1724 – 12 February 1804) was a German philosopher and one of the central Enlightenment thinkers. Born in Königsberg, Kant's comprehensive and systematic works in epistemology, metaphysics, ethics, and aesthetics have made him one of the most influential figures in modern Western philosophy. In his doctrine of transcendental idealism, Kant argued that space and time are mere "forms of intuition" which structure all experience, and therefore that, while " things-in-themselves" exist and contribute to experience, they are nonetheless distinct from the objects of experience. From this it follows that the objects of experience are mere "appearances", and that the nature of things as they are in themselves is unknowable to us. In an attempt to counter the skepticism he found in the writings of philosopher David Hume, he wrote the '' Critique of Pure Reason'' (1781/1787), one of his most well-known works. In it, he developed his theory of experie ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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