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Single Idea 1885

[filed under theme 2. Reason / E. Argument / 6. Conclusive Proof ]

Full Idea

Dogmatists define proof as "an argument which, by means of agreed premises, reveals by way of deduction a nonevident inference".

Gist of Idea

Proof moves from agreed premises to a non-evident inference

Source

Sextus Empiricus (Outlines of Pyrrhonism [c.180], II.135)

Book Ref

Sextus Empiricus: 'Outlines of Pyrrhonism', ed/tr. Bury,R.G. [Prometheus 1990], p.141


The 8 ideas with the same theme [securely establishing a result by precise defined steps]:

Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege]
Proof moves from agreed premises to a non-evident inference [Sext.Empiricus]
Leibniz is inclined to regard all truths as provable [Leibniz, by Frege]
Proof aims to remove doubts, but also to show the interdependence of truths [Frege]
We must be clear about every premise and every law used in a proof [Frege]
Anything which must first be proved is of little value [Nietzsche]
A successful proof requires recognition of truth at every step [Dummett]
Proof shows that it is true, but also why it must be true [Mayberry]