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Calculus Of Equivalent Statements
Hugh MacColl (before April 1885 spelled as Hugh McColl; 1831–1909) was a Scottish mathematician, logician and novelist. Life MacColl was the youngest son of a poor Highland family that was at least partly Gaelic-speaking. Hugh's father died when he was still an infant, and Hugh was educated largely thanks to the efforts of his elder brother Malcolm MacColl, an Episcopalian clergyman and friend and political ally of William Ewart Gladstone. Early in his acquaintanceship with Gladstone, Malcolm MacColl persuaded the Liberal politician to provide funds for Hugh's education at Oxford. It was proposed to send him to Oxford University's St. Edmund Hall, but Gladstone made this conditional on Hugh MacColl agreeing to take orders in the Church of England. Hugh MacColl refused this condition and, as a result, never obtained a university education, which may have limited his contribution to philosophy, and certainly prevented him from ever obtaining a formal academic position. After a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Logician
Logic is the study of correct reasoning. It includes both Mathematical logic, formal and informal logic. Formal logic is the science of Validity (logic), deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premises in a topic-neutral way. When used as a countable noun, the term "a logic" refers to a logical formal system that articulates a proof system. Formal logic contrasts with informal logic, which is associated with informal fallacies, critical thinking, and argumentation theory. While there is no general agreement on how formal and informal logic are to be distinguished, one prominent approach associates their difference with whether the studied arguments are expressed in Formal language, formal or Natural language, informal languages. Logic plays a central role in multiple fields, such as philosophy, mathematics, computer science, and linguistics. Logic studies arguments, which consist of a set of premises t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gottlob Frege
Friedrich Ludwig Gottlob Frege (; ; 8 November 1848 – 26 July 1925) was a German philosopher, logician, and mathematician. He was a mathematics professor at the University of Jena, and is understood by many to be the father of analytic philosophy, concentrating on the philosophy of language, logic, and mathematics. Though he was largely ignored during his lifetime, Giuseppe Peano (1858–1932), Bertrand Russell (1872–1970), and, to some extent, Ludwig Wittgenstein (1889–1951) introduced his work to later generations of philosophers. Frege is widely considered to be the greatest logician since Aristotle, and one of the most profound philosophers of mathematics ever. His contributions include the development of modern logic in the '' Begriffsschrift'' and work in the foundations of mathematics. His book the ''Foundations of Arithmetic'' is the seminal text of the logicist project, and is cited by Michael Dummett as where to pinpoint the linguistic turn. His philo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Free Logic
A free logic is a logic with fewer existential presuppositions than classical logic. Free logics may allow for terms that do not denote any object. Free logics may also allow models that have an empty domain. A free logic with the latter property is an inclusive logic. Explanation In classical logic there are theorems that clearly presuppose that there is something in the domain of discourse. Consider the following classically valid theorems. :1. \forall xA \Rightarrow \exists xA :2. \forall x \forall rA(x) \Rightarrow \forall rA(r) :3. \forall rA(r) \Rightarrow \exists xA(x) A valid scheme in the theory of equality which exhibits the same feature is :4. \forall x(Fx \rightarrow Gx) \land \exists xFx \rightarrow \exists x(Fx \land Gx) Informally, if F is '=y', G is 'is Pegasus', and we substitute 'Pegasus' for y, then (4) appears to allow us to infer from 'everything identical with Pegasus is Pegasus' that something is identical with Pegasus. The problem comes from ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Université Lille Nord De France
The Community of Universities and Institutions (COMUE) Lille Nord de France (formerly Université Lille Nord de France) was a French Groups of Universities and Institutions (COMUE) spread over multiple campuses and centered in Lille (North - Hauts-de-France). It included a European Doctoral College and federated universities, engineering schools and research centers. With more than one hundred thousand students, it was one of the largest university federations in France. The University of Lille, with nearly 70,000 students, was its main component. The COMUE stopped its activity in 2019 and its activities were transferred to its founding institutions. History Founded as University of Douai in 1562, the university was renamed ''Université impériale de Douai-Lille'' in 1808, then as ''Université de Lille'' with faculty expansion in the Lille region from mid-19th century onwards. * The roots of the faculties in law and humanities date back from the 16th century; * The school o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Epistemology
Epistemology (; ), or the theory of knowledge, is the branch of philosophy concerned with knowledge. Epistemology is considered a major subfield of philosophy, along with other major subfields such as ethics, logic, and metaphysics. Epistemologists study the nature, origin, and scope of knowledge, epistemic justification, the rationality of belief, and various related issues. Debates in epistemology are generally clustered around four core areas: # The philosophical analysis of the nature of knowledge and the conditions required for a belief to constitute knowledge, such as truth and justification # Potential sources of knowledge and justified belief, such as perception, reason, memory, and testimony # The structure of a body of knowledge or justified belief, including whether all justified beliefs must be derived from justified foundational beliefs or whether justification requires only a coherent set of beliefs # Philosophical skepticism, which questions the pos ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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