Writing PhilosophyHOW DO YOU DO PHILOSOPHY?
November 24, 2023

HOW DO YOU DO PHILOSOPHY?

How do you do philosophy? Unlike many of the questions asked in the name of philosophy, this one has a straightforward answer. You do philosophy primarily through writing. Now, if…
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…
Writing PhilosophyWHAT PHILOSOPHY PROFESSORS WANT FROM STUDENT WRITERS
November 24, 2023

WHAT PHILOSOPHY PROFESSORS WANT FROM STUDENT WRITERS

Some 2,300 years ago, Aristotle introduced the syllogism into the intellectual world. A threeelement formula, it is the elementary building block of syllogistic logic and deductive reasoning. The syllogism combines…
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…
Writing PhilosophyESSENTIAL WRITING SKILLS
November 21, 2023

ESSENTIAL WRITING SKILLS

Having just walked through the basic process of writing a philosophy paper, we turn now to the essential skillset you should develop and apply not only to the writing of…
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…
PHILOSOPHICAL BOOKS AND TEXTCRITICAL THINKING AND LOGIC TEXTBOOKS
November 27, 2023

CRITICAL THINKING AND LOGIC TEXTBOOKS

Textbooks on critical thinking and logic.
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…
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”…
History Of PhilosophyATOMISM
November 15, 2023

ATOMISM

Atomism was founded by Leucippus (who flourished around 440 BC) but was primarily elaborated by Democritus (c. 460-370 BC) as a way of reconciling the Eleatic doctrine of the impossibility…
MEDIEVAL PHILOSOPHYHistory Of PhilosophySCHOLASTICISM
November 15, 2023

SCHOLASTICISM

A general term for those philosophers influenced by the medieval rediscovery of classic texts, Scholasticism is broadly characterized by an interest in logic and disputation and is motivated to resolve…
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…
WHAT IS PHILOSOPHY?WHAT IS PHILOSOPHY?
November 12, 2023

WHAT IS PHILOSOPHY?

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…
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…

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The Atomos Blog

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

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

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

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Terms & Concepts

E

Existential elimination

In symbolic logic, a valid inference in a system of quantifier rules. An existential claim is“eliminated” by way of a subproof that assumes a name for the claim in question,…
L

Libertarianism

1) The view that human freedom is a good, such that political institutions should be severely limited, so that they do not interfere with an individual’s pursuit of their own…
O

Ought

A moral term, often contrasted with “should.” As such, it is obligatory, rather than suggestive. https://youtube.com/shorts/68M1POCs5PA?feature=share
C
Categories
E
Ethics of care
I
Implication
C
Conjunction
C
Counterexample
R
Rationalism
A
Assertion
C
Coherence theory of truth
A
Analytical consequence
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