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…
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…
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”…
LogicHIGHER-ORDER LOGICS
November 15, 2023

HIGHER-ORDER LOGICS

The language sketched above is better referred to as first-order predicate calculus, as the language only quantifies over (first-order) individuals. A stronger language, second-order predicate calculus, can therefore be constructed…
History Of PhilosophyPYTHAGOREANISM
November 15, 2023

PYTHAGOREANISM

Based on the teachings of Pythagoras (c. 570–495 BC) and the school he established inCroton in southern Italy, we may conclude that, in many ways, Pythagoreanism was more ofa mystery…
History Of PhilosophyTHE PRE-SOCRATICS
November 15, 2023

THE PRE-SOCRATICS

The origins of Western philosophy are usually attributed to Thales of Miletus (fl. sixth century BC), who taught that “everything was made of water” and thus that the universe, all…
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…
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…
NON-WESTERN PHILOSOPHICAL TRADITIONSHistory Of PhilosophyINDIAN PHILOSOPHY
November 15, 2023

INDIAN PHILOSOPHY

Philosophy on the Indian subcontinent between 1000 BC and the early centuries of the first millennium was comprised of six major schools of Hindu philosophy (Nyaya, Vaisheshika, Samkhya, Yoga, Mimamsa,…
NON-WESTERN PHILOSOPHICAL TRADITIONSHistory Of PhilosophyPHILOSOPHIES OF EAST ASIA
November 15, 2023

PHILOSOPHIES OF EAST ASIA

The dominant philosophical traditions in this part of the world began in Ancient China from the sixth century to 221 BC, which saw the development of China’s great philosophical movements…
WHAT IS PHILOSOPHY?WHAT IS PHILOSOPHY?
November 12, 2023

WHAT IS PHILOSOPHY?

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
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…
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,…
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,…

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

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Terms & Concepts

S

Subproof

A nested proof; that is, a proof that occurs within a larger proof sequence. (See alsoAssumptive proof.) https://youtube.com/shorts/GztQjmSjBQM?feature=share
A

Ad-hoc hypothesis

A hypothesis added to avoid falsification; more specifically, a hypothesis that does not increase the overall content, hence falsifiability, of the theory. An example is the hypothesis of the cosmological…
S

Statement

A sentence that is true or false; that is, a sentence that has a truth value. In formal logic, anatomic statement is constituted by a predicate and at least one…
R
Ren
R
Rule utilitarianism
M
Moral reasoning
M
Material cause
P
Pre-Socratics
E
External meaning
P
Principle of universal causation
R
Raven Paradox
A
Assumptive proof
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