Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics
E462023
Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics is a philosophical and foundational study in which Friedrich Waismann analyzes how mathematical concepts are formed, clarified, and used in modern mathematics.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics canonical | 1 |
Statements (42)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematics book ⓘ non-fiction book ⓘ philosophy of mathematics book ⓘ |
| aimsTo |
bridge philosophical reflection and mathematical practice
ⓘ
clarify how mathematical concepts gain meaning ⓘ |
| analyzes |
how mathematical concepts are clarified
ⓘ
how mathematical concepts are formed ⓘ how mathematical concepts are used in practice ⓘ |
| approach |
foundational analysis
ⓘ
philosophical analysis ⓘ |
| author | Friedrich Waismann NERFINISHED ⓘ |
| concerns |
criteria for clarity in mathematical concepts
ⓘ
the nature of mathematical thinking ⓘ the relationship between informal and formal mathematics ⓘ |
| context | 20th-century philosophy of mathematics ⓘ |
| examines |
the development of mathematical ideas
ⓘ
the logical structure of mathematical theories ⓘ the role of language in mathematics ⓘ |
| focusesOn |
clarification of mathematical concepts
ⓘ
formation of mathematical concepts ⓘ use of concepts in modern mathematics ⓘ |
| genre | academic monograph ⓘ |
| hasPart |
chapters on applications in modern mathematics
ⓘ
chapters on clarification of concepts ⓘ chapters on concept formation ⓘ |
| intendedAudience |
readers interested in foundations of mathematics
ⓘ
students of mathematics ⓘ students of philosophy ⓘ |
| language | English ⓘ |
| philosophicalTradition |
Vienna Circle tradition
NERFINISHED
ⓘ
analytic philosophy ⓘ |
| relatedTo |
concept formation
ⓘ
logical analysis of language ⓘ meaning in mathematics ⓘ modern mathematics ⓘ |
| relatedWork |
Friedrich Waismann's writings on language and logic
ⓘ
works of the Vienna Circle on the foundations of science ⓘ |
| subject |
epistemology of mathematics
ⓘ
foundations of mathematics ⓘ mathematical logic ⓘ philosophy of mathematics ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
Friedrich Waismann
→
notableWork
→
Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics
ⓘ