Die Grundlagen der Arithmetik

Frege, G. (1884). Die Grundlagen der Arithmetik: Eine logisch-mathematische Untersuchung über den Begriff der Zahl.

Type

Book

Intellectual base

Review or monograph

Year

1884

Link

https://archive.org/details/diegrundlagende00freggoog

Cited from

mathematics, philosophy

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Abstraction

  • This sourceDevelops abstraction principles for number (numbers abstracted from the equinumerosity of concepts).

• Set and Membership
  • Frege's logicism

    This sourceDevelops abstraction principles for numbers (Hume's Principle and context principle): numbers are abstracted from equinumerosity of sets, and meaning is derived from context. Foundational for understanding how abstract mathematical objects are constituted through abstraction.

• Type–Token Distinction
  • Where no such criterion can be stated, what one has is treated here as a loose grouping rather than the two-level structure.

Verification

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