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THE FRANKFURT SCHOOL

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THE ELEATIC SCHOOL

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CYNICISM

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ATOMISM

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LOGIC

Logic is concerned with studying the inferences we make, and the formal languages developed to systematize those inferences. This includes…
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History Of PhilosophyANALYTIC PHILOSOPHYORDINARY LANGUAGE PHILOSOPHY
November 15, 2023

ORDINARY LANGUAGE PHILOSOPHY

Between the 1940s and the 1960s, analytic philosophy shifted away from investigating the (supposed) underlying logical structure of language. While it was still primarily concerned with conceptual analysis, this was…
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FORMS OF PHILOSOPHICAL WRITINGWriting PhilosophyTHE EXPOSITORY PAPER
November 19, 2023

THE EXPOSITORY PAPER

We have already touched on the expository paper, but let’s discuss it briefly here. Look at the adjective expository. It is derived from the noun exposition, which is the noun…
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PHILOSOPHICAL BOOKS AND TEXTCRITICAL THINKING AND LOGIC TEXTBOOKS
November 27, 2023

CRITICAL THINKING AND LOGIC TEXTBOOKS

Textbooks on critical thinking and logic.
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NON-WESTERN PHILOSOPHICAL TRADITIONSNON-WESTERN PHILOSOPHICAL TRADITIONS
November 15, 2023

NON-WESTERN PHILOSOPHICAL TRADITIONS

As explained at the beginning of this chapter, this book is intended primarily for philosophy students, especially new philosophy students, whose focus is mainly or even exclusively on Western philosophical…
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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…
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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…
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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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PHILOSOPHICAL BOOKS AND TEXTINTRODUCTORY PHILOSOPHY TEXTS
November 27, 2023

INTRODUCTORY PHILOSOPHY TEXTS

There is no substitute for grappling primary sources. Nevertheless, secondary sources—including scholarly research, literary reviews, historical summaries—are valuable tools. They not only show you how you can begin thinking about…
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Traditional Branches of PhilosophyPhilosophy BranchesLOGIC
December 12, 2023

LOGIC

Logic is concerned with studying the inferences we make, and the formal languages developed to systematize those inferences. This includes both the proof-theories and semantics for these languages, as well…
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LogicPROPOSITIONAL CALCULUS (PROPOSITIONAL LOGIC)
November 15, 2023

PROPOSITIONAL CALCULUS (PROPOSITIONAL LOGIC)

The simplest formal (logical) language is the propositional calculus. This considers the logical relationships that hold between complete propositions.
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LogicPREDICATE CALCULUS (PREDICATE LOGIC)
November 15, 2023

PREDICATE CALCULUS (PREDICATE LOGIC)

The next development of the propositional calculus is the predicate calculus. This considers the logical relationships that hold between predicate expressions, along with the quantifiers ∃x (“there is at least…
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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…
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Writing PhilosophyTHE PHILOSOPHICAL WRITING PROCESS
November 22, 2023

THE PHILOSOPHICAL WRITING PROCESS

Writing is work, and for many of us, writing is hard work. Writing philosophy adds to this labor an element of intimidation. Whether you are writing an expository—explanatory and descriptive—essay…
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FORMS OF PHILOSOPHICAL WRITINGTHE ESSAY OF ASSERTION
November 20, 2023

THE ESSAY OF ASSERTION

The essay of assertion takes the position I believe. It is an argumentative essay in which you convey to the reader some belief or beliefs that you hold. If you…
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History Of PhilosophyCLASSICAL PHILOSOPHYPLATO
November 15, 2023

PLATO

Plato (427–347 BC) was born into a powerful family in Athens but abandoned politics after the execution of his teacher, Socrates; he subsequently traveled, became influenced by the Pythagoreans, and…
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EPICUREANISM

Founded by Epicurus (341–271 BC), this eponymous philosophy is best known through the Roman poet Lucretius (mid first century BC).…
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Logic

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Terms & Concepts

D

Dialetheism

The view that some contradictions are actually true, this is a metaphysical thesis usually based upon the technical advantages of a paraconsistent logic for some domain. https://youtube.com/shorts/TrOrSWI4rt4?feature=share
B

Bound variable

A variable (such as x, y, and z) is bound by a quantifier that is used with the same variable —for example, ∀x (Px → Qx). https://youtube.com/shorts/7mi_I0N9To0?feature=share
S

Society

A civilization whose members are tied together by a government, historical bonds, culture, ora set of practices. https://youtube.com/shorts/bUApGRZwYOU?feature=share
C
Contraposition
I
Immanent
S
Self-contradictory
E
Empirical idealism
N
Necessary condition
F
Formal cause
F
Formal proof
C
Correspondence theory of truth
P
Principle of sufficient reason
View All