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…
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…
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…
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…
Writing PhilosophyGRADING CRITERIA FOR PHILOSOPHY ESSAYS
November 24, 2023

GRADING CRITERIA FOR PHILOSOPHY ESSAYS

The eight skills just listed are so central to philosophical writing that we may count them among the criteria most instructors use in grading essay assignments. Keep these eight skills…
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”…
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…
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…
CONTINENTAL PHILOSOPHYHistory Of PhilosophyCONTINENTAL PHILOSOPHY IN THE TWENTIETH CENTURY
November 15, 2023

CONTINENTAL PHILOSOPHY IN THE TWENTIETH CENTURY

While the focus of western philosophy has primarily been on the analysis and understanding of our most basic concepts, another important theme has been the preparation and education of man…
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…
Modern Branches of PhilosophyPhilosophy BranchesPHILOSOPHY OF LANGUAGE
November 14, 2023

PHILOSOPHY OF LANGUAGE

The study of natural languages is conventionally divided among questions of syntax, semantics, and pragmatics, all of which raise significant issues for the philosophy of language. In terms of syntax…
Traditional Branches of PhilosophyPhilosophy BranchesEPISTEMOLOGY
December 12, 2023

EPISTEMOLOGY

Epistemology is the study of knowledge, including its nature and its extent, and of justification (that is, whether a belief is formed in a valid way to justify its being…
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…
Modern Branches of PhilosophyPhilosophy BranchesPHILOSOPHY OF SCIENCE
November 14, 2023

PHILOSOPHY OF SCIENCE

Many of the topics within the philosophy of science overlap with topics in metaphysics, epistemology, and the philosophy of language insofar as they apply within our scientific practice. Metaphysical issues,…
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…

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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 Law: An IntroductionAtomosPHILOSOPHY OF LAW

Philosophy of Law: An Introduction

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Aesthetics: An IntroductionAESTHETICSAtomos

Aesthetics: An Introduction

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Epistemology: An IntroductionAtomosEPISTEMOLOGY

Epistemology: An Introduction

Philosophy StudentPhilosophy StudentJanuary 10, 2026
Ethics: An IntroductionAtomosETHICS

Ethics: An Introduction

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Logic: An IntroductionAtomosLOGIC

Logic: An Introduction

Philosophy StudentPhilosophy StudentJanuary 10, 2026
Metaphysics: An IntroductionAtomosMETAPHYSICS

Metaphysics: An Introduction

Philosophy StudentPhilosophy StudentJanuary 10, 2026

Terms & Concepts

L

Logical validity

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

Semantic theory of truth

1) A formal mathematical theory that defines truth in terms of set theory and satisfaction,with truth taken to be a property of sentences; commonly associated with the work of AlfredTarski…
I

Idealism

The view that only mental entities are real https://youtube.com/shorts/ktW2Kvg64To?feature=share
S
Strong argument
D
Divine preordination
N
Neoplatonism
F
Forms
A
Altruism
D
Difference principle
P
Pre-Socratics
T
Thing-in-Itself
F
First-order contradiction
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