LogicINTUITIONISM
November 15, 2023

INTUITIONISM

One of the most familiar non-classical logics is intuitionism, which, in simple terms, is based upon the rejection of the law of excluded middle: (P ∨ ¬P). There are both…
FORMS OF PHILOSOPHICAL WRITINGWriting PhilosophyFORMS OF PHILOSOPHICAL WRITING
November 20, 2023

FORMS OF PHILOSOPHICAL WRITING

The word essay comes from the French infinitive verb essayer, meaning “to try” or “to attempt.” In fact, when the word was first borrowed into the English language, as essay,…
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…
THE EARLY MODERN PERIODHistory Of PhilosophyTRANSCENDENTAL IDEALISM
November 15, 2023

TRANSCENDENTAL IDEALISM

The philosophical system developed by Immanuel Kant (1724–1804), Transcendental Idealism sought to overcome the epistemological problems of Empiricism while providing a rational justification for Liberalism.
History Of PhilosophyPOST-KANTIAN PHILOSOPHY IN THE NINETEENTH CENTURY
November 15, 2023

POST-KANTIAN PHILOSOPHY IN THE NINETEENTH CENTURY

Kant’s philosophy continued to dominate throughout the nineteenth century, although there were increasing concerns about the overall coherence of his system; in particular, there was doubt as to whether the…
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…
CONTINENTAL PHILOSOPHYHistory Of PhilosophyEXISTENTIALISM
November 15, 2023

EXISTENTIALISM

A broad philosophical and literary movement that flourished during the first half of the twentieth century, Existentialism emphasized the uniqueness of human experience over the generalizations of traditional scientific or…
NON-WESTERN PHILOSOPHICAL TRADITIONSHistory Of PhilosophyINDIAN PHILOSOPHY
November 15, 2023

INDIAN PHILOSOPHY

Philosophy on the Indian subcontinent between 1000 BC and the early centuries of the first millennium was comprised of six major schools of Hindu philosophy (Nyaya, Vaisheshika, Samkhya, Yoga, Mimamsa,…
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…
POST-KANTIAN PHILOSOPHYHistory Of PhilosophyHEGELIANISM
November 15, 2023

HEGELIANISM

One common theme in post-Kantian philosophy was an attempt to overcome the remaining divisions between noumena and phenomena, and to reconcile the distinct faculties of sensibility and understanding in to…
PHILOSOPHICAL BOOKS AND TEXTESSENTIAL READING IN THE HISTORY OF PHILOSOPHY
November 27, 2023

ESSENTIAL READING IN THE HISTORY OF PHILOSOPHY

A comprehensive list of essential readings in the history of philosophy.
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…
Writing PhilosophyWHAT PHILOSOPHY PROFESSORS WANT FROM STUDENT WRITERS
November 24, 2023

WHAT PHILOSOPHY PROFESSORS WANT FROM STUDENT WRITERS

Some 2,300 years ago, Aristotle introduced the syllogism into the intellectual world. A threeelement formula, it is the elementary building block of syllogistic logic and deductive reasoning. The syllogism combines…
Philosophy BranchesTraditional Branches of PhilosophyPHILOSOPHY OF RELIGION
December 12, 2023

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…
CLASSICAL PHILOSOPHYHistory Of PhilosophySTOICISM
November 15, 2023

STOICISM

Founded by Zeno of Citium (334–262 BC), early Stoicism shared many similarities with Epicureanism, including the belief that the world was largely deterministic and that the overall goal of the…

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The Atomos Blog

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

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

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Philosophy of Science: An IntroductionAtomosPHILOSOPHY OF SCIENCE

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Aesthetics: An IntroductionAESTHETICSAtomos

Aesthetics: An Introduction

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Epistemology: An Introduction

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Ethics: An IntroductionAtomosETHICS

Ethics: An Introduction

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Logic: An IntroductionAtomosLOGIC

Logic: An Introduction

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Metaphysics: An IntroductionAtomosMETAPHYSICS

Metaphysics: An Introduction

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Terms & Concepts

F

Golden Rule

“Do unto others as you would have them do unto you”—the principle of treating others asyou want to be treated. This principle is found in most major religions. https://youtube.com/shorts/KWnwoGpxCJI?feature=share
E

Ex contradictione quodlibet

The logical principle that from a contradiction everything follows. Non-classical logics designed to invalidate this principle are known as paraconsistent logics. https://youtube.com/shorts/wF0zrFYUM90?feature=share
L

Logical consequence

A statement is a logical consequence of another or others when it is impossible for that statement to be false and if the other(s) is (are) true. (See also validity.)…
F
First-order validity
P
Primary qualities
S
Subject Term
T
Truth of reason
A
Appearance
P
Presupposition
A
Analects
C
Contingent truth
C
Church-Turing Thesis
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