Modern Branches of PhilosophyPhilosophy BranchesPHILOSOPHY OF MATHEMATICS
November 14, 2023

PHILOSOPHY OF MATHEMATICS

The philosophy of mathematics is traditionally concerned with the ontological and epistemological foundations of mathematics. The two questions, of ontology and epistemology, are intimately related, as a satisfactory account of…
FORMS OF PHILOSOPHICAL WRITINGTHE PERSONAL ESSAY
November 20, 2023

THE PERSONAL ESSAY

The personal essay is a self-reflective search for meaning. Unlike most philosophical writing, it is not argumentative. Instead, it is exploratory and speculative, often even somewhat confessional. It is typically…
History Of PhilosophyPYTHAGOREANISM
November 15, 2023

PYTHAGOREANISM

Based on the teachings of Pythagoras (c. 570–495 BC) and the school he established inCroton in southern Italy, we may conclude that, in many ways, Pythagoreanism was more ofa mystery…
History Of PhilosophyTHE SOPHISTS
November 15, 2023

THE SOPHISTS

The Sophists were not a single school but a professional grouping of largely itinerant teachers of rhetoric, philosophy, and legal argumentation. Their importance lies not in any specific doctrines but…
Philosophy BranchesTraditional Branches of PhilosophyNATURAL PHILOSOPHY
December 12, 2023

NATURAL PHILOSOPHY

An important historical branch designation rather than a current one, natural philosophy was the study of nature and the physical universe by philosophical (that is, largely empirical reason-based) methods.
THE EARLY MODERN PERIODHistory Of PhilosophyLIBERALISM
November 15, 2023

LIBERALISM

A political philosophy whose central claim is that a government’s authority is justified only insofar as it secures the liberty of its subjects, Liberalism is generally traced to John Locke…
WHAT IS PHILOSOPHY?WHAT IS THE “SUBJECT MATTER” OF PHILOSOPHY
November 12, 2023

WHAT IS THE “SUBJECT MATTER” OF PHILOSOPHY

“There is a common misunderstanding that philosophy—like chemistry or history—has a content to offer, a content that a teacher is to teach and a student is to learn,” writes Professor…
NON-WESTERN PHILOSOPHICAL TRADITIONSHistory Of PhilosophyAFRICAN PHILOSOPHY
November 15, 2023

AFRICAN PHILOSOPHY

The earliest indigenous African philosophy to produce written documents emerged during the seventeenth century, especially in Ethiopia. Zera Yacob (1599–1692), whose Hatata (1667) has been compared to René Descartes’ Discourse…
CLASSICAL PHILOSOPHYHistory Of PhilosophyCYNICISM
November 15, 2023

CYNICISM

Founded by Antisthenes (c. 445–360 BC), who taught the importance of individual virtue over material luxury, Cynicism was contemptuous of political institutions and organized religion. It rejected refined philosophical speculation…
ANALYTIC PHILOSOPHYHistory Of PhilosophyLOGICAL ATOMISM
November 15, 2023

LOGICAL ATOMISM

Although mostly associated with the logical analysis of language, analytic philosophy began in the philosophy of mathematics. Working independently, both Gottlob Frege and Bertrand Russell pursued programs of reducing mathematics…
History Of PhilosophyTHE PRE-SOCRATICS
November 15, 2023

THE PRE-SOCRATICS

The origins of Western philosophy are usually attributed to Thales of Miletus (fl. sixth century BC), who taught that “everything was made of water” and thus that the universe, all…
CONTINENTAL PHILOSOPHYHistory Of PhilosophyTHE FRANKFURT SCHOOL
November 15, 2023

THE FRANKFURT SCHOOL

A group of philosophers, cultural critics, and social scientists based around the Frankfurt (Germany) Institute for Social Research were primarily concerned with integrating philosophical analysis with then-recent results in the…
History Of PhilosophyATOMISM
November 15, 2023

ATOMISM

Atomism was founded by Leucippus (who flourished around 440 BC) but was primarily elaborated by Democritus (c. 460-370 BC) as a way of reconciling the Eleatic doctrine of the impossibility…
PHILOSOPHICAL BOOKS AND TEXTINTRODUCTORY LOGIC TEXTS
November 27, 2023

INTRODUCTORY LOGIC TEXTS

There are some fairly firm distinctions between critical thinking and formal (symbolic) logic texts. Whereas critical thinking focuses broadly on argumentation, formal logic is the study of the principles of…
LogicMANY-VALUE LOGICS
November 15, 2023

MANY-VALUE LOGICS

In the classical logics already discussed, the logical connectives are taken to be bivalent—that is, they allow of only two different truth values: true and false. One natural extension to…

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Terms & Concepts

B

Bayes’s Theorem

Named after Thomas Bayes (1701?-1761), Bayes’s Theorem describes how to update belief in the likelihood of an event, given the occurrence of evidence relevant to that event. While Bayes’s Theorem…
G

Grue Paradox

Nelson Goodman’s (1906-1998) argument that every inductive basis supports an infinite number of incompatible predictions: for instance, “all emeralds are green” versus “allemeralds are grue,” where grue means green now,…
C

Contradiction introduction

In symbolic logic, a valid inference in a system of truth-functional rules. The rule whereby a contradiction (P and ¬ P) is proved on separate lines in a proof or…
U
Upanishads
N
Nihilism
N
Negation elimination
F
Facticity
R
Raven Paradox
N
Naturalism
S
Strong argument
E
Existential elimination
M
Modus ponens“
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