Traditional Branches of PhilosophyPhilosophy BranchesEPISTEMOLOGY
December 12, 2023

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…
FORMS OF PHILOSOPHICAL WRITINGWriting PhilosophyOTHER CATEGORIZATIONS OF PHILOSOPHICAL WRITING
November 19, 2023

OTHER CATEGORIZATIONS OF PHILOSOPHICAL WRITING

There are other ways of classifying the forms of philosophic writing you may be asked to produce. The most prominent of these are: The Expository Paper The Argumentative Paper The…
Writing PhilosophyGRADING CRITERIA FOR PHILOSOPHY ESSAYS
November 24, 2023

GRADING CRITERIA FOR PHILOSOPHY ESSAYS

The eight skills just listed are so central to philosophical writing that we may count them among the criteria most instructors use in grading essay assignments. Keep these eight skills…
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…
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…
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.
Traditional Branches of PhilosophyPhilosophy BranchesAESTHETICS
December 12, 2023

AESTHETICS

Aesthetics is concerned with the nature of art (whether visual, literary, dramatic, or in some other medium) and the way in which art is experienced. Two principal related issues, therefore,…
NON-WESTERN PHILOSOPHICAL TRADITIONSHistory Of PhilosophyMIDDLE EASTERN TRADITIONS
November 15, 2023

MIDDLE EASTERN TRADITIONS

As the Middle East is often called the cradle of civilization, it is also the source of some of the earliest philosophical literature. Much of it is devoted to what…
LogicRELEVANCE LOGICS
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…
Writing PhilosophyWHAT IS GOOD WRITING?
November 24, 2023

WHAT IS GOOD WRITING?

What is good music? What is good art? What is good writing? Such questions unleash many opinions. The branch of traditional philosophy called Aesthetics is devoted to answering such questions…
Modern Branches of PhilosophyPhilosophy BranchesHERMENEUTICS
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”…
THE EARLY MODERN PERIODWHAT IS PHILOSOPHY?EMPIRICISM
November 15, 2023

EMPIRICISM

Empiricism covers a range of views prioritizing experience as the primary source of knowledge. During the Early Modern Period, this view was expounded by the so-called British Empiricists—Locke, Berkeley, and…
WHAT IS PHILOSOPHY?PHILOSOPHY AS METHOD
November 12, 2023

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…
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…
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…

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The Atomos Blog

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Can Math Prove Its Own Sanity? — A Deep Dive into Artemov’s Landmark Paper

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Terms & Concepts

T

Term

A word naming a category or class of things in a proposition or deductive argument. https://youtube.com/shorts/WNjYniPXtas?feature=share
A

Arity

In formal logic, the number of arguments (see Argument) a predicate takes. https://youtube.com/shorts/yFjoEFUMImY?feature=share
N

Necessary condition

A condition without which another statement does not obtain. Q is a necessary condition for Pin the claim, “If P then Q.” If Q does not obtain, P does not…
S
Supererogatory
E
Ethical relativism
C
Coherence theory of truth
A
Aristotelian forms
P
Probable
C
Contradiction introduction
PHIOLOSOPHICAL TERMS AND CONCEPTS
PHIOLOSOPHICAL TERMS AND CONCEPTS
D
DeMorgan’s Laws
N
Negation
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