Combining Philosophers

All the ideas for Anaximander, Peter Klein and Seymour Lipschutz

unexpand these ideas     |    start again     |     specify just one area for these philosophers


13 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / b. Pre-Socratic philosophy
Anaximander produced the first philosophy book (and maybe the first book) [Anaximander, by Bodnár]
     Full Idea: Anaximander was the first to produce a philosophical book (later conventionally titled 'On Nature'), if not the first to produce a book at all.
     From: report of Anaximander (fragments/reports [c.570 BCE]) by István Bodnár - Anaximander
     A reaction: Wow! Presumably there were Egyptian 'books', but this still sounds like a stupendous claim to fame.
2. Reason / A. Nature of Reason / 6. Coherence
Why should we prefer coherent beliefs? [Klein,P]
     Full Idea: A key question for a coherentist is, why should he or she adopt a coherent set of beliefs rather than an incoherent set?
     From: Peter Klein (Infinitism solution to regress problem [2005], 'Step 1')
     A reaction: The point of the question is that the coherentist may have to revert to other criteria in answering it. One could equally ask, why should I believe in tables just because I vividly experience them? Or, why believe 2+2=4, just because it is obvious?
2. Reason / B. Laws of Thought / 2. Sufficient Reason
The earth is stationary, because it is in the centre, and has no more reason to move one way than another [Anaximander, by Aristotle]
     Full Idea: Something which is established in the centre and has equality in relation to the extremes has no more reason to move up than it has down or to the sides (so the earth is stationary)
     From: report of Anaximander (fragments/reports [c.570 BCE], A26) by Aristotle - On the Heavens 295b11
4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes
Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]
     Full Idea: A relation R on a non-empty set S is an equivalence relation if it is reflexive (for each member a, aRa), symmetric (if aRb, then bRa), and transitive (aRb and bRc, so aRc). It tries to classify objects that are in some way 'alike'.
     From: Seymour Lipschutz (Set Theory and related topics (2nd ed) [1998], 3.9)
     A reaction: So this is an attempt to formalise the common sense notion of seeing that two things have something in common. Presumably a 'way' of being alike is going to be a property or a part
7. Existence / A. Nature of Existence / 1. Nature of Existence
Anaximander saw the contradiction in the world - that its own qualities destroy it [Anaximander, by Nietzsche]
     Full Idea: Anaximander discovers the contradictory character of our world: it perishes from its own qualities.
     From: report of Anaximander (fragments/reports [c.570 BCE]) by Friedrich Nietzsche - Unpublished Notebooks 1872-74 19 [239]
     A reaction: A lovely gloss on Anaximander, though I am not sure that I understand what Nietzsche means.
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
Infinitism avoids a regress, circularity or arbitrariness, by saying warrant just increases [Klein,P]
     Full Idea: Infinitism can solve the regress problem, because it endorses a warrant-emergent form of reasoning in which warrant increases as the series of reasons lengthens. The theory can avoid both circularity and arbitrariness.
     From: Peter Klein (Infinitism solution to regress problem [2005], 'Step 2')
     A reaction: It nicely avoids arbitrariness by offering a reason for absolutely every belief. I think the way to go may to combine individual Infinitism with a social account of where to set the bar of acceptable justification.
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / e. Pro-foundations
If justification is endless, no link in the chain is ultimately justified [Ginet on Klein,P]
     Full Idea: An endless chain of inferential justifications can never ultimately explain why any link in the chain is justified.
     From: comment on Peter Klein (Infinitism solution to regress problem [2005]) by Carl Ginet - Infinitism not solution to regress problem p.148
     A reaction: This strikes me as a mere yearning for foundations. I don't see sense-experience or the natural light of human reason (or the word of God, for that matter) as in any way 'ultimate'. It's all evidence to be evaluated.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Reasons acquire warrant through being part of a lengthening series [Klein,P]
     Full Idea: The infinitist holds that finding a reason, and then another reason for that reason, places it at the beginning of a series where each gains warrant as part of the series. ..Rational credibility increases as the series lengthens.
     From: Peter Klein (Infinitism solution to regress problem [2005], p.137)
     A reaction: A striking problem here for Klein is the status of the first reason, prior to it being supported by a series. Surprisingly, it seems that it would not yet be a justification. Coherence accounts have the same problem, if coherence is the only criterion.
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / d. The unlimited
Anaximander introduced the idea that the first principle and element of things was the Boundless [Anaximander, by Simplicius]
     Full Idea: Anaximander said that the first principle and element of existing things was the boundless; it was he who originally introduced this name for the first principle.
     From: report of Anaximander (fragments/reports [c.570 BCE], A09) by Simplicius - On Aristotle's 'Physics' 9.24.14-
     A reaction: Simplicius is quoting Theophrastus
The essential nature, whatever it is, of the non-limited is everlasting and ageless [Anaximander]
     Full Idea: The essential nature, whatever it is, of the non-limited is everlasting and ageless.
     From: Anaximander (fragments/reports [c.570 BCE], B2), quoted by (who?) - where?
The Boundless cannot exist on its own, and must have something contrary to it [Aristotle on Anaximander]
     Full Idea: Those thinkers are in error who postulate ...a single matter, for this cannot exist without some 'perceptible contrariety': this Boundless, which they identify with the 'original real', must be either light or heavy, either hot or cold.
     From: comment on Anaximander (fragments/reports [c.570 BCE]) by Aristotle - Coming-to-be and Passing-away (Gen/Corr) 329a10
     A reaction: A dubious objection, I would say. If there has to be a contrasting cold thing to any hot thing, what happens when the cold thing is removed?
Things begin and end in the Unlimited, and are balanced over time according to justice [Anaximander]
     Full Idea: The non-limited is the original material of existing things; their source is also that to which they return after destruction, according to necessity; they give justice and make reparation to each other for injustice, according to the arrangement of Time.
     From: Anaximander (fragments/reports [c.570 BCE], B1), quoted by Simplicius - On Aristotle's 'Physics' 24.13-
     A reaction: Simplicius is quoting Theophrastus
27. Natural Reality / E. Cosmology / 2. Eternal Universe
The parts of all things are susceptible to change, but the whole is unchangeable [Anaximander, by Diog. Laertius]
     Full Idea: The parts of all things are susceptible to change, but the whole is unchangeable.
     From: report of Anaximander (fragments/reports [c.570 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.An.2