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…
NON-WESTERN PHILOSOPHICAL TRADITIONSNON-WESTERN PHILOSOPHICAL TRADITIONS
November 15, 2023

NON-WESTERN PHILOSOPHICAL TRADITIONS

As explained at the beginning of this chapter, this book is intended primarily for philosophy students, especially new philosophy students, whose focus is mainly or even exclusively on Western philosophical…
FORMS OF PHILOSOPHICAL WRITINGTHE PERSONAL ESSAY
November 20, 2023

THE PERSONAL ESSAY

The personal essay is a self-reflective search for meaning. Unlike most philosophical writing, it is not argumentative. Instead, it is exploratory and speculative, often even somewhat confessional. It is typically…
CLASSICAL PHILOSOPHYHistory Of PhilosophyCYNICISM
November 15, 2023

CYNICISM

Founded by Antisthenes (c. 445–360 BC), who taught the importance of individual virtue over material luxury, Cynicism was contemptuous of political institutions and organized religion. It rejected refined philosophical speculation…
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…
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…
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…
CONTINENTAL PHILOSOPHYHistory Of PhilosophySTRUCTURALISM
November 15, 2023

STRUCTURALISM

Structuralism refers to research undertaken in the social sciences, predominantly in France, between the 1950s and 1970s, which sought to understand various social phenomena as a “closed system” of elements.
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…
NON-WESTERN PHILOSOPHICAL TRADITIONSHistory Of PhilosophyAFRICAN PHILOSOPHY
November 15, 2023

AFRICAN PHILOSOPHY

The earliest indigenous African philosophy to produce written documents emerged during the seventeenth century, especially in Ethiopia. Zera Yacob (1599–1692), whose Hatata (1667) has been compared to René Descartes’ Discourse…
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…
FORMS OF PHILOSOPHICAL WRITINGTHE ESSAY OF ASSERTION
November 20, 2023

THE ESSAY OF ASSERTION

The essay of assertion takes the position I believe. It is an argumentative essay in which you convey to the reader some belief or beliefs that you hold. If you…
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…
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…
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”…

Books

  • Tao Te Ching

    $9.99
  • 30 Rules To Live By: How Small Timeless Habits Completely Change Your View On Wealth, Desire And Everyday Vices To Reach Long-Lasting Happiness (Stoicism Mastery)

    $17.99
  • Henry at Work: Thoreau on Making a Living

    $19.99
  • A Brief History of Everything (20th Anniversary Edition)

    $12.99
  • Meditations (Deluxe Hardcover Book)

    $9.99
  • The Book of Five Rings

    $7.63
  • The Prince

    $7.99
  • Inward (The Inward Trilogy)

    $10.80
  • Suffering-Focused Ethics: Defense and Implications

    $11.49
  • The Varieties of Religious Experience: Complete and Unabridged (Illustrated)

    $6.99
  • Virtue Ethics: An Introduction (Prometheus Lectures)

    $25.03
  • The Prince (Penguin Classics)

    $3.40
  • Religious Revelation (Palgrave Frontiers in Philosophy of Religion)

    $54.99
  • This Moment Is the Perfect Teacher: Ten Buddhist Teachings on Cultivating Inner Strength and Compassion

    $13.99
  • Comfortable with Uncertainty: 108 Teachings on Cultivating Fearlessness and Compassion

    $14.26
  • Conversations about the Meaning of Life (Conversations about Philosophy)

    $14.99

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

D

Dialetheism

The view that some contradictions are actually true, this is a metaphysical thesis usually based upon the technical advantages of a paraconsistent logic for some domain. https://youtube.com/shorts/TrOrSWI4rt4?feature=share
L

Logical validity

A conclusion that is true by virtue of the logical structure of the argument. https://youtube.com/shorts/UYmkMthxKMQ?feature=share
F

First-order validity

An argument is valid when a sentence is logically true by way of truth-functional connectivedefinitions, identity, and quantifiers. https://youtube.com/shorts/CZnU2xWzcRg?feature=share
E
Equality
E
Epistemic closure
L
Leibniz’s Law
M
Master morality
I
Impression
T
Teleology
V
Virtue theory
V
Void
V
VirtueExcellence
View All