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Logic
November 15, 2023

RELEVANCE LOGICS

A relevance logic is motivated by the idea that the premises of a valid argument must be somehow “relevant” to its conclusion. The idea is motivated by the fact that…
MEDIEVAL PHILOSOPHYHistory Of Philosophy
November 15, 2023

THOMISM

A school of thought based on the work of Saint Thomas Aquinas (1225–1274), Thomism is, like Scholasticism, principally concerned with metaphysics and understanding the attributes of God.
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.
PHILOSOPHICAL BOOKS AND TEXT
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…
Modern Branches of PhilosophyPhilosophy Branches
November 14, 2023

HERMENEUTICS

Originally applied to scriptural exegesis (interpretation), hermeneutics is more generally the theory and method of all “textual” interpretation. In the modern context, this refers to both verbal and non-verbal “texts”…
Logic
November 15, 2023

HIGHER-ORDER LOGICS

The language sketched above is better referred to as first-order predicate calculus, as the language only quantifies over (first-order) individuals. A stronger language, second-order predicate calculus, can therefore be constructed…
ANALYTIC PHILOSOPHYHistory Of Philosophy
November 15, 2023

ANALYTIC PHILOSOPHY IN THE TWENTIETH CENTURY

The analytic tradition arose partly as a rejection of Hegelian idealism in favor of what George Edward Moore (1873–1958) called a “common sense” view of the world, alongside developments in…
History Of Philosophy
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…
Logic
November 15, 2023

BASIC LOGICAL SYMBOLS

¬ one-place logical connective read as “not” or as “is not the case” ~ alternative notation for “not” & two-place logical connective read as “and” ˄ and
PHILOSOPHICAL BOOKS AND TEXT
November 27, 2023

CRITICAL THINKING AND LOGIC TEXTBOOKS

Textbooks on critical thinking and logic.
CONTINENTAL PHILOSOPHYHistory Of Philosophy
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…
Modern Branches of PhilosophyPhilosophy Branches
November 14, 2023

PHILOSOPHY OF LANGUAGE

The study of natural languages is conventionally divided among questions of syntax, semantics, and pragmatics, all of which raise significant issues for the philosophy of language. In terms of syntax…
Traditional Branches of PhilosophyPhilosophy Branches
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…
THE EARLY MODERN PERIODHistory Of Philosophy
November 15, 2023

RATIONALISM

Rationalism designates a variety of philosophical schools maintaining that reason, as opposed to empirical investigation, is the most important method of acquiring knowledge.
CLASSICAL PHILOSOPHYHistory Of Philosophy
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…

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Terms & Concepts

L

Logical necessity

A sentence that is true in all possible circumstances. A sentence that is never false—that is, asentence true by its logical form and, therefore, a logical consequence of any set…
C

Contraposition by limitation

A two-step inference involving the subalternation from the E-proposition to its corresponding O-proposition and then contraposing the result. Contraposition by limitation is a valid inference only for the E-proposition on…
C

Contraries

A pair of propositions that cannot both be simultaneously true but can be simultaneously false. In categorical logic, A- and E-propositions are contraries. If one is true, the other must…
I
Internal meaning
F
False cause
V
Vicious circle (circular reasoning)
B
Bound variable
C
Conversion
O
Ought
C
Cosmology
M
Major premise
E
Eliminative materialism
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