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Single Idea 13373

[filed under theme 5. Theory of Logic / L. Paradox / 1. Paradox ]

Full Idea

A natural principle is the same kind of paradox will have the same kind of solution. Standardly Ramsey's first group are solved by denying the existence of some totality, and the second group are less clear. But denial of the groups sink both.

Gist of Idea

Typically, paradoxes are dealt with by dividing them into two groups, but the division is wrong

Source

Graham Priest (The Structure of Paradoxes of Self-Reference [1994], §5)

Book Ref

-: 'Mind' [-], p.32


A Reaction

[compressed] This sums up the argument of Priest's paper, which is that it is Ramsey's division into two kinds (see Idea 13334) which is preventing us from getting to grips with the paradoxes. Priest, notoriously, just lives with them.

Related Idea

Idea 13334 Contradictions are either purely logical or mathematical, or they involved thought and language [Ramsey]


The 5 ideas with the same theme [general ideas about meeting contradictions in thought]:

If you know your father, but don't recognise your father veiled, you know and don't know the same person [Eubulides, by Dancy,R]
Contradictions are either purely logical or mathematical, or they involved thought and language [Ramsey]
Typically, paradoxes are dealt with by dividing them into two groups, but the division is wrong [Priest,G]
Many new paradoxes may await us when we study interactions between frameworks [Halbach]
Monty Hall Dilemma: do you abandon your preference after Monty eliminates one of the rivals? [PG]