Combining Philosophers

All the ideas for Agrippa, Hilbert,D/Ackermann,W and Jennifer Hornsby

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8 ideas

2. Reason / A. Nature of Reason / 9. Limits of Reason
All reasoning endlessly leads to further reasoning (Mode 12) [Agrippa, by Diog. Laertius]
     Full Idea: Twelfth mode: all reasoning leads on to further reasoning, and this process goes on forever.
     From: report of Agrippa (fragments/reports [c.60]) by Diogenes Laertius - Lives of Eminent Philosophers 09.Py.10
Proofs often presuppose the thing to be proved (Mode 15) [Agrippa, by Diog. Laertius]
     Full Idea: Fifteenth mode: proofs often presuppose the thing to be proved.
     From: report of Agrippa (fragments/reports [c.60]) by Diogenes Laertius - Lives of Eminent Philosophers 09.Py.10
Reasoning needs arbitrary faith in preliminary hypotheses (Mode 14) [Agrippa, by Diog. Laertius]
     Full Idea: Fourteenth mode: reasoning requires arbitrary faith in preliminary hypotheses.
     From: report of Agrippa (fragments/reports [c.60]) by Diogenes Laertius - Lives of Eminent Philosophers 09.Py.10
All discussion is full of uncertainty and contradiction (Mode 11) [Agrippa, by Diog. Laertius]
     Full Idea: Eleventh mode: all topics of discussion are full of uncertainty and contradiction.
     From: report of Agrippa (fragments/reports [c.60]) by Diogenes Laertius - Lives of Eminent Philosophers 09.Py.10
4. Formal Logic / C. Predicate Calculus PC / 1. Predicate Calculus PC
The first clear proof of the consistency of the first order predicate logic was in 1928 [Hilbert/Ackermann, by Walicki]
     Full Idea: The first clear proof of the consistency of the first order predicate logic is found in the 1928 book of Hilbert and Ackermann.
     From: report of Hilbert,D/Ackermann,W (Principles of Theoretical Logic [1928]) by Michal Walicki - Introduction to Mathematical Logic History E.2.1
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
Agrippa's Trilemma: justification is infinite, or ends arbitrarily, or is circular [Agrippa, by Williams,M]
     Full Idea: Agrippa's Trilemma offers three possible outcomes for a regress of justification: the chain goes on for ever (infinite); or the chain stops at an unjustified proposition (arbitrary); or the chain eventually includes the original proposition (circular).
     From: report of Agrippa (fragments/reports [c.60], §2) by Michael Williams - Without Immediate Justification §2
     A reaction: This summarises Ideas 1911, 1913 and 1914. Agrippa's Trilemma is now a standard starting point for modern discussions of foundations. Personally I reject 2, and am torn between 1 (+ social consensus) and 3 (with a benign, coherent circle).
13. Knowledge Criteria / E. Relativism / 1. Relativism
Everything is perceived in relation to another thing (Mode 13) [Agrippa, by Diog. Laertius]
     Full Idea: Thirteenth mode: everything is always perceived in relation to something else.
     From: report of Agrippa (fragments/reports [c.60]) by Diogenes Laertius - Lives of Eminent Philosophers 09.Py.10
20. Action / A. Definition of Action / 5. Action as Trying
Bodily movements are not actions, which are really the tryings within bodily movement [Hornsby, by Stout,R]
     Full Idea: Hornsby claims the basic description of action is in terms of trying, that all actions (even means of doing other actions) are actions of trying, and that tryings (and therefore actions) are interior to bodily movements (which are thus not essential).
     From: report of Jennifer Hornsby (Actions [1980]) by Rowland Stout - Action 9 'Trying'
     A reaction: [compression of his summary] There is no regress with explaining the 'action' of trying, because it is proposed that trying is the most basic thing in all actions. If you are paralysed, your trying does not result in action. Too mentalistic?