LogicMANY-VALUE LOGICS
November 15, 2023

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…
LogicPREDICATE CALCULUS (PREDICATE LOGIC)
November 15, 2023

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…
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
History Of PhilosophyCLASSICAL PHILOSOPHYPLATO
November 15, 2023

PLATO

Plato (427–347 BC) was born into a powerful family in Athens but abandoned politics after the execution of his teacher, Socrates; he subsequently traveled, became influenced by the Pythagoreans, and…
CONTINENTAL PHILOSOPHYHistory Of PhilosophyTHE FRANKFURT SCHOOL
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…
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…
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…
CLASSICAL PHILOSOPHYHistory Of PhilosophySKEPTICISM (PYRRHONISM)
November 15, 2023

SKEPTICISM (PYRRHONISM)

Pyrrhonian Skepticism was founded by Pyrrho of Elis (c. 360–275 BC), who argued that knowledge is impossible. The Skeptics proposed various arguments for their conclusions, including Platonic doubts about the…
History Of PhilosophyPYTHAGOREANISM
November 15, 2023

PYTHAGOREANISM

Based on the teachings of Pythagoras (c. 570–495 BC) and the school he established inCroton in southern Italy, we may conclude that, in many ways, Pythagoreanism was more ofa mystery…
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 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…
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.
PHILOSOPHICAL BOOKS AND TEXTGUIDES TO PHILOSOPHICAL WRITING
November 27, 2023

GUIDES TO PHILOSOPHICAL WRITING

As with developing any skill, learning to write philosophically takes practice. Here are some links to academic sites, along with several style guides, to aid you.
MEDIEVAL PHILOSOPHYHistory Of PhilosophySAINT AUGUSTINE
November 15, 2023

SAINT AUGUSTINE

Like his contemporaries, Saint Augustine (354–430) was primarily influenced by Neoplatonism, and, indeed, credited Plotinus with helping him to understand Christian theology.
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…

Books

  • The Blame Game: How to Recover from the World’s Oldest Addiction

    $28.99
  • The Philosophy of Religion in Post-Revolutionary Iran (Routledge Studies in Islamic Philosophy)

    $52.95
  • Infinite Potential: The Greatest Works of Neville Goddard

    $84.48
  • The Essential Kierkegaard

    $135.00
  • What the Buddha Taught: Revised and Expanded Edition with Texts from Suttas and Dhammapada

    $8.89
  • Why Is There Suffering?: Pick Your Own Theological Expedition

    $9.99
  • History of Christian Philosophy in the Middle Ages

    $89.99
  • Understanding Knowledge

    $20.00
  • On the Genealogy of Morals (Penguin Classics)

    $10.79
  • Lao Tzu: Tao Te Ching: A Book about the Way and the Power of the Way

    $5.99
  • Be As You Are: The Teachings of Sri Ramana Maharshi (Compass)

    $13.54
  • Utopia With Erasmus’s: The Silent Alcibiades (Hackett Classics)

    $11.00
  • Sale!

    Better Never to Have Been: The Harm of Coming into Existence

    Original price was: $38.99.Current price is: $38.46.
  • Nature and Norm: Judaism, Christianity, and the Theopolitical Problem (New Perspectives in Post-Rabbinic Judaism)

    $71.14
  • End Times: Elites, Counter-Elites, and the Path of Political Disintegration

    $17.99
  • Philosophers of the Renaissance

    $35.95

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

S

Standard form

1) The organization of a categorical proposition: Quantifier, subject term, copula, and predicate term. (See also Categorical proposition.) 2) The organization of an argument,where the premises are listed, one on…
E

Entitlement

The having of a right. https://youtube.com/shorts/tBm4A06G8aE?feature=share
M

Modus ponens“

Mode of affirmation,” the Latin name for the formal logic rule that allows the inference of the consequent of a conditional claim from the affirmation of the antecedent. Argument of…
S
Sophists
H
Historicism
U
Utilitarianism
I
Intension
C
Complement
C
Causal theory of perception
B
Brentano’s Thesis
L
Logical equivalence (logically equivalent statements)
E
Ethics of care
View All