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…
Writing PhilosophyWHAT IS GOOD PHILOSOPHICAL WRITING?
November 24, 2023

WHAT IS GOOD PHILOSOPHICAL WRITING?

Writing effectively for a philosophy course does not merely start with the general principles of good writing just outlined, it sets out to show mastery of these principles. It embodies…
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…
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…
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…
ANALYTIC PHILOSOPHYHistory Of PhilosophyLOGICAL ATOMISM
November 15, 2023

LOGICAL ATOMISM

Although mostly associated with the logical analysis of language, analytic philosophy began in the philosophy of mathematics. Working independently, both Gottlob Frege and Bertrand Russell pursued programs of reducing mathematics…
LogicNON-CLASSICAL LOGIC
November 15, 2023

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…
STRATEGIC WRITING CHOICESWriting PhilosophySTRATEGIC WRITING CHOICES FOR PHILOSOPHY CLASS
November 18, 2023

STRATEGIC WRITING CHOICES FOR PHILOSOPHY CLASS

Writing philosophy should not be easy, but you cannot allow it to become impossible. Here are five strategic rules of thumb for embarking on a successful writing project for philosophy…
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…
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…
Philosophy BranchesTraditional Branches of PhilosophyETHICS
December 12, 2023

ETHICS

Ethics is the study of morality and can be divided into three main areas of inquiry. Descriptive ethics concerns the actual moral beliefs held by specific individuals or societies and…
Philosophy BranchesTraditional Branches of PhilosophyNATURAL PHILOSOPHY
December 12, 2023

NATURAL PHILOSOPHY

An important historical branch designation rather than a current one, natural philosophy was the study of nature and the physical universe by philosophical (that is, largely empirical reason-based) methods.
THE EARLY MODERN PERIODHistory Of PhilosophyLIBERALISM
November 15, 2023

LIBERALISM

A political philosophy whose central claim is that a government’s authority is justified only insofar as it secures the liberty of its subjects, Liberalism is generally traced to John Locke…
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.
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…

Books

  • William James in Focus: Willing to Believe (American Philosophy)

    $8.25
  • Hegel: Phenomenology and System

    $17.00
  • The Complete Works: Handbook, Discourses, and Fragments

    $15.44
  • Fanged Noumena: Collected Writings 1987-2007

    $20.99
  • Buddhism without Beliefs: A Contemporary Guide to Awakening

    $10.77
  • Forget Foucault, new edition (Semiotext(e) / Foreign Agents)

    $14.95
  • The Complete Works: Handbook, Discourses, and Fragments

    $15.44
  • Analytic Philosophy and Avicenna (Routledge Studies in Islamic Philosophy)

    $48.95
  • UNDERSTANDING JOHN STUART MILL: The Smart Student’s Guide to Utilitarianism and On Liberty (Philosophy Study Guides)

    $9.24
  • In the Ruins of Neoliberalism: The Rise of Antidemocratic Politics in the West (The Wellek Library Lectures)

    $25.00
  • The Birth of Tragedy: Out of the Spirit of Music (Penguin Classics)

    $10.82
  • Feline Philosophy

    $13.99
  • The Dynamics of Transformation: Tracing an Emerging World View

    $17.95
  • Of Grammatology

    $39.00
  • Being and Time: A Revised Edition of the Stambaugh Translation (SUNY series in Contemporary Continental Philosophy)

    $24.95
  • A Course in Miracles: Text, Workbook for Students, Manual for Teachers

    $22.49

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

Philosophy StudentPhilosophy StudentJanuary 10, 2026
Aesthetics: An IntroductionAESTHETICSAtomos

Aesthetics: An Introduction

Philosophy StudentPhilosophy StudentJanuary 10, 2026
Epistemology: An IntroductionAtomosEPISTEMOLOGY

Epistemology: An Introduction

Philosophy StudentPhilosophy StudentJanuary 10, 2026
Ethics: An IntroductionAtomosETHICS

Ethics: An Introduction

Philosophy StudentPhilosophy StudentJanuary 10, 2026
Logic: An IntroductionAtomosLOGIC

Logic: An Introduction

Philosophy StudentPhilosophy StudentJanuary 10, 2026
Metaphysics: An IntroductionAtomosMETAPHYSICS

Metaphysics: An Introduction

Philosophy StudentPhilosophy StudentJanuary 10, 2026

Terms & Concepts

C

Coherence theory of truth

The theory that a statement or a belief is true if and only if it coheres with a specified system of statements or beliefs. https://youtube.com/shorts/nT7m_JHd2XQ?feature=share
E

Evidentialism

The view that a belief is justified only if it is supported by sufficient evidence. https://youtube.com/shorts/tQSEKQO8wiE?feature=share
D

DeMorgan’s Laws

Named after the British mathematician and logician Augustus deMorgan (2806-1871), two sets of statements are truth-functionally equivalent: ¬ (P ^ Q) :: ¬ P ∨ ¬ Q and ¬ (P…
P
Proof by contradiction
T
Truth of reason
U
Uncogent argument
R
Red herring
C
Critical thinking
C
Contradiction introduction
E
Existential elimination
D
Double effect, doctrine of
N
Negation introduction
View All