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…
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.
Philosophy BranchesTraditional Branches of PhilosophyPOLITICAL PHILOSOPHY
December 12, 2023

POLITICAL PHILOSOPHY

Political philosophy is at least as old as Plato (428/227 or 424/423-348/347 BC) and is concerned with the nature of the state and, more broadly, with coercive institutions, and their…
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…
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…
FORMS OF PHILOSOPHICAL WRITINGWriting PhilosophyTHE EXPOSITORY PAPER
November 19, 2023

THE EXPOSITORY PAPER

We have already touched on the expository paper, but let’s discuss it briefly here. Look at the adjective expository. It is derived from the noun exposition, which is the noun…
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.
LogicBASIC LOGICAL SYMBOLS
November 15, 2023

BASIC LOGICAL SYMBOLS

¬ one-place logical connective read as “not” or as “is not the case” ~ alternative notation for “not” & two-place logical connective read as “and” ˄ 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,…
Writing PhilosophyWRITING PHILOSOPHY
November 24, 2023

WRITING PHILOSOPHY

How Do You Do Philosophy? Writing Is Central To Philosophy What Philosophy Professors Want From Student Writers What Is Good Writing? What Is Good Philosophical Writing? Grading Criteria for Philosophy…
Philosophy BranchesTraditional Branches of PhilosophyPHILOSOPHY OF LAW
December 12, 2023

PHILOSOPHY OF LAW

The philosophy of law is concerned with all aspects of theoretical reflection on laws and legal systems and therefore encompasses historical and sociological studies in addition to the philosophical questions…
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…
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…
FORMS OF PHILOSOPHICAL WRITINGWriting PhilosophyFORMS OF PHILOSOPHICAL WRITING
November 20, 2023

FORMS OF PHILOSOPHICAL WRITING

The word essay comes from the French infinitive verb essayer, meaning “to try” or “to attempt.” In fact, when the word was first borrowed into the English language, as essay,…
LogicRELEVANCE LOGICS
November 15, 2023

RELEVANCE LOGICS

A relevance logic is motivated by the idea that the premises of a valid argument must be somehow “relevant” to its conclusion. The idea is motivated by the fact that…

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The Atomos Blog

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Can Math Prove Its Own Sanity? — A Deep Dive into Artemov’s Landmark Paper

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Terms & Concepts

D

Demonstration of non-consequence

An argument that shares the same form as the original but consists of true premises and a false conclusion. A counterexample shows an argument is invalid, since there is at…
A

Aristocracy

A society ruled by the best citizens. Plato is among those thinkers who favored an aristocracy over a democracy. https://youtube.com/shorts/rqdJfqp7ZjQ?feature=share
I

Infinite regress (or regression)

An endless sequence. https://youtube.com/shorts/D_vsZ4LmoQY?feature=share
P
Proof
H
Heteronomy
I
Inconsistent
P
Principle of induction
S
Socialism
R
Rationality
P
Preestablished harmony
N
Normative ethics
S
Standard form
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