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…
PREDICATE CALCULUS (PREDICATE LOGIC)
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…
THE FRANKFURT SCHOOL
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…
RELEVANCE LOGICS
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…
NON-CLASSICAL LOGIC
NON-CLASSICAL LOGIC
While both the predicate calculus and the modal propositional calculus may be seen as extensions of the basic propositional calculus, there are also a variety of formal languages intended as…
ESSENTIAL READING IN THE HISTORY OF PHILOSOPHY
ESSENTIAL READING IN THE HISTORY OF PHILOSOPHY
A comprehensive list of essential readings in the history of philosophy.
PHILOSOPHY AS METHOD
PHILOSOPHY AS METHOD
Our digital age suggests a useful analogy to further explain the role of philosophy in intellectual life. Philosophy is analogous to an operating system (OS), a software platform that enables…
PRAGMATISM
PRAGMATISM
Pragmatism was a philosophical movement in the United States concerned with the relationship between abstract theory and practical activity, and with the value of philosophical reflection.
ATOMISM
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…
PHILOSOPHY OF RELIGION
PHILOSOPHY OF RELIGION
Many religions distinguish between truths accessible through reason (natural theology), and truths accessible through faith (revealed theology). Both natural and revealed theology raise interesting philosophical questions about these two sources…
AFRICAN PHILOSOPHY
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…
EPISTEMOLOGY
EPISTEMOLOGY
Epistemology is the study of knowledge, including its nature and its extent, and of justification (that is, whether a belief is formed in a valid way to justify its being…
PROPOSITIONAL CALCULUS (PROPOSITIONAL LOGIC)
PROPOSITIONAL CALCULUS (PROPOSITIONAL LOGIC)
The simplest formal (logical) language is the propositional calculus. This considers the logical relationships that hold between complete propositions.
INTRODUCTORY LOGIC TEXTS
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…
BASIC LOGICAL SYMBOLS
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
RATIONALISM
Rationalism designates a variety of philosophical schools maintaining that reason, as opposed to empirical investigation, is the most important method…
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Stillness Is the Key
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The Complete Works of Nietzsche
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The Varieties of Religious Experience
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The Atomos Blog
How do you get from a singularity to infinity?
How do you get from a singularity to infinity?
How do you get from a singularity to infinity?
How do you get from a singularity to infinity?
When the Light of a Dead Star Touches Your Eye
When the Light of a Dead Star Touches Your Eye
The Threshold
The Threshold
Can Math Prove Its Own Sanity? — A Deep Dive into Artemov’s Landmark Paper
Can Math Prove Its Own Sanity? — A Deep Dive into Artemov’s Landmark Paper
What Does the Mind Really Mean?
What Does the Mind Really Mean?
The Symphony of Existence: Strings, Dimensions, and the Persistence of Identity
The Symphony of Existence: Strings, Dimensions, and the Persistence of Identity
Does It Feel Like Anything To Be Claude?
Does It Feel Like Anything To Be Claude?
Natural Function and Perceptual Content
Natural Function and Perceptual Content
Philosophy of Law: An Introduction
Philosophy of Law: An Introduction
Philosophy of Science: An Introduction
Philosophy of Science: An Introduction
Aesthetics: An Introduction
Aesthetics: An Introduction
Epistemology: An Introduction
Epistemology: An Introduction
Ethics: An Introduction
Ethics: An Introduction
Logic: An Introduction
Logic: An Introduction
Metaphysics: An Introduction
Metaphysics: An Introduction
Philosophy of Science: An Introduction
Philosophy of Science: An Introduction
Terms & Concepts
Rational
That which accords with rules of reason. https://youtube.com/shorts/5sMc9c9w-uU?feature=share
Inference to the best explanation
Ampliative method of inference concluding that the explanation that best explains the available evidence is likely to be true. https://youtube.com/shorts/K2LhdmvK-3g?feature=share
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