Philosophy Dictionary of ArgumentsHome | |||
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Ultimate justification: here we are concerned with the search for a justification of ethical norms or of measurement methods, which are proven to be no longer traceable. These are intended to enable the development of systems which cannot be rebutted as a whole, but against which only objections with regard to the internal structure can be put forward. This is intended to encourage collective work to improve generally accepted systems._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. | |||
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Friedrich Waismann on Ultimate Justification - Dictionary of Arguments
I 50 Ultimate justification/foundation/Mathematics/Waismann: The question of the last anchorage has not been solved with these researches, but merely pushed back further. A justification is unsuitable with the help of arithmetic; we have already reached the last clues of the arithmetic deduction. But such a possibility seems to arise when one looks beyond arithmetic: this leads to the third standpoint. >Foundation. Arithmetic/Waismann: is based on logic. In doing so, one makes strong use of terms of the set theory, or the class calculus. The assertion that mathematics is only a >"part of logic" includes two theses, which are not always clearly separated: A) The basic concepts of arithmetic can be traced back to purely logical ones by definition B) The principles of arithmetic can be deduced from evidence from purely logical propositions. >Logic, >Proof, >Empiricism. I 51 It looks like the sets of logic are tautologies. (Wittgenstein in 1921 introduced the concept of tautology). >Tautology. WaismannVsFrege: Frege was completely lacking the insight that the whole logic becomes meaningless, because he did not understand the nature of logic at all. In Frege's opinion, logic should be a descriptive science, such as mechanics. And to the question of what it describes, he replied: the relations between ideal objects, such as "and", "or", "if", etc. Platonic conception of a realm of uncreated structures. >Platonism, >G. Frege._____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Waismann I F. Waismann Einführung in das mathematische Denken Darmstadt 1996 Waismann II F. Waismann Logik, Sprache, Philosophie Stuttgart 1976 |