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Single Idea 13515

[filed under theme 1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis ]

Full Idea

By now, no education in abstract pursuits is adequate without some familiarity with sets.

Gist of Idea

To study abstract problems, some knowledge of set theory is essential

Source

William D. Hart (The Evolution of Logic [2010], 10)

Book Ref

Hart,W.D.: 'The Evolution of Logic' [CUP 2010], p.268


A Reaction

A heart-sinking observation for those who aspire to study metaphysics and modality. The question is, what will count as 'some' familiarity? Are only professional logicians now allowed to be proper philosophers?


The 13 ideas with the same theme [using logic as a tool for analysing concepts and truths]:

Metaphysics is turning into logic, and logic is becoming mathematics [Peirce]
Frege changed philosophy by extending logic's ability to check the grounds of thinking [Potter on Frege]
Frege developed formal systems to avoid unnoticed assumptions [Frege, by Lavine]
When problems are analysed properly, they are either logical, or not philosophical at all [Russell]
A logical language would show up the fallacy of inferring reality from ordinary language [Russell]
We can't sharply distinguish variables, domains and values, if symbols frighten us [Russell]
Logicians don't paraphrase logic into language, because they think in the symbolic language [Quine]
If if time is money then if time is not money then time is money then if if if time is not money... [Quine]
I use variables to show that each item remains the same entity throughout [Chisholm]
Humeans see analysis in terms of formal logic, because necessities are fundamentally logical relations [Harré/Madden]
To study abstract problems, some knowledge of set theory is essential [Hart,WD]
Study vagueness first by its logic, then by its truth-conditions, and then its metaphysics [Fine,K]
Frege's logical approach dominates the analytical tradition [Hanna]