CONTINENTAL PHILOSOPHYHistory Of PhilosophyPHENOMENOLOGY
November 15, 2023

PHENOMENOLOGY

As originally developed by Edmund Husserl (1859–1938), phenomenology seeks to provide a detailed description of the way in which things are presented to us—that is to say, phenomena —in an…
Philosophy BranchesTraditional Branches of PhilosophyMETAPHYSICS
December 12, 2023

METAPHYSICS

Metaphysics is the philosophical investigation of reality, including the nature of the world and the entities it contains. While such an investigation inevitably overlaps with natural philosophy—the sciences, especially physics…
Writing PhilosophyESSENTIAL WRITING SKILLS
November 21, 2023

ESSENTIAL WRITING SKILLS

Having just walked through the basic process of writing a philosophy paper, we turn now to the essential skillset you should develop and apply not only to the writing of…
FORMS OF PHILOSOPHICAL WRITINGWriting PhilosophyTHE ESSAY OF REFUTATION
November 20, 2023

THE ESSAY OF REFUTATION

The essay of refutation takes the position “I disagree.” Its objective is to persuade the reader that the argument of another is false, flawed, unlikely, implausible, or in some other…
History Of PhilosophyCLASSICAL PHILOSOPHYARISTOTLE
November 15, 2023

ARISTOTLE

Aristotle (384–322 BC) was born in Stagira but moved to Athens as a young man to study at Plato’s Academy. Following Plato’s death, Aristotle traveled, became tutor to Alexander the…
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…
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…
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…
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.
History Of PhilosophyTHE ELEATIC SCHOOL
November 15, 2023

THE ELEATIC SCHOOL

Based in the Ionian colony of Elea (modern-day Velia) in southern Italy, and primarily associated with Parmenides (early fifth century BC) and Melissus of Samos (mid fifth century BC), the…
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…
THE EARLY MODERN PERIODHistory Of PhilosophyTHE EARLY MODERN PERIOD
November 15, 2023

THE EARLY MODERN PERIOD

Philosophical thought during the Enlightenment was characterized by a rejection of existing sources of authority. The broadly Aristotelean scientific worldview was undermined by a period of scientific revolution—conventionally beginning with…
PHILOSOPHICAL BOOKS AND TEXTPHILOSOPHICAL BOOKS AND TEXT
November 23, 2023

PHILOSOPHICAL BOOKS AND TEXT

ESSENTIAL READING IN THE HISTORY OF PHILOSOPHY BOOKS TO GUIDE NOVICE PHILOSOPHY STUDENTS INTRODUCTORY PHILOSOPHY TEXTS GUIDES TO PHILOSOPHICAL WRITING INTRODUCTORY LOGIC TEXTS CRITICAL THINKING AND LOGIC TEXTBOOKS
LogicHIGHER-ORDER LOGICS
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…
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…

Books

  • T1D Pro: Your G.U.I.D.E. to Type 1 Diabetes Management | Achieve world-class A1Cs, sleep better, & live more!

    $11.99
  • Postmodernism: A Beginner’s Guide (Beginner’s Guides)

    $12.00
  • The Essential Kierkegaard

    $135.00
  • The Anti-Christ

    $10.20
  • Tao Te Ching: The Definitive Edition

    $16.95
  • I’ll Burn That Bridge When I Get to It! Heretical Thoughts on Identity Politics, Cancel Culture, and Academic Freedom

    $24.37
  • Gratitude Journal: gratitude journal and planner, gratitude journal bulk , A 52 Week Guide To Cultivate An Attitude Of Gratitude, Journals for Women … (124 Pages, 6” X 9”), Daily habit journals.

    $4.99
  • Process and Reality (Gifford Lectures Delivered in the University of Edinburgh During the Session 1927-28)

    $18.60
  • Medieval Cosmology: Theories of Infinity, Place, Time, Void, and the Plurality of Worlds

    $46.90
  • The Convoluted Universe: Book One (The Convoluted Universe series)

    $16.79
  • Walden: Introduction and Annotations by Bill McKibben (Concord Library)

    $10.95
  • New Seeds of Contemplation

    $12.43
  • Being and Time: A Revised Edition of the Stambaugh Translation (SUNY series in Contemporary Continental Philosophy)

    $24.95
  • Everyday Emerson: A Year of Wisdom

    $19.99
  • A Book Forged in Hell: Spinoza’s Scandalous Treatise and the Birth of the Secular Age

    $8.20
  • The Daily Stoic: 366 Meditations on Wisdom, Perseverance, and the Art of Living

    $16.81

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

Philosophy StudentPhilosophy StudentApril 14, 2026
Philosophy of Law: An IntroductionAtomosPHILOSOPHY OF LAW

Philosophy of Law: An Introduction

Atomos EditorAtomos EditorJanuary 10, 2026
Philosophy of Science: An IntroductionAtomosPHILOSOPHY OF SCIENCE

Philosophy of Science: An Introduction

Atomos EditorAtomos EditorJanuary 10, 2026
Aesthetics: An IntroductionAESTHETICSAtomos

Aesthetics: An Introduction

Atomos EditorAtomos EditorJanuary 10, 2026
Epistemology: An IntroductionAtomosEPISTEMOLOGY

Epistemology: An Introduction

Atomos EditorAtomos EditorJanuary 10, 2026
Ethics: An IntroductionAtomosETHICS

Ethics: An Introduction

Atomos EditorAtomos EditorJanuary 10, 2026
Logic: An IntroductionAtomosLOGIC

Logic: An Introduction

Atomos EditorAtomos EditorJanuary 10, 2026
Metaphysics: An IntroductionAtomosMETAPHYSICS

Metaphysics: An Introduction

Atomos EditorAtomos EditorJanuary 10, 2026

Terms & Concepts

I

Indirect proof

A proof whereby a statement’s negation is proved by assuming the statement is true. Thatassumption leads to a contradiction, which proves the assumption is false. (See also Proof bycontradiction or…
A

Analytic statement

A logically true statement, the denial of which results in a contradiction. https://youtube.com/shorts/l15sCCsCVJw?feature=share
H

Hasty generalization

An informal fallacy constituted by inferring a generalization from too few instances. https://youtube.com/shorts/8sHmNgwl0eQ?feature=share
T
Transcendental deduction
L
Logical truth
P
Presupposition
N
Natural kind
E
Existentialism
D
Dialectic
N
Nominalism
H
Hedon
T
Teleology
View All