Sentence examples for Skolem from high-quality English sources.

Use Skolem in a sentence.

  • Among these Tarski himself would mention Gödel’s completeness theorem and several versions of the Löwenheim-Skolem theorem (cf.

  • Second, it can be regarded as the first place where recursive definability is linked to effective computability (see also Skolem 1946).

  • Skolem in the winter of 1915–16 visited Göttingen, where he discussed set theory with Felix Bernstein; there is no sign that he met Hilbert.

  • Turning to the Löwenheim-Skolem theorem, we find that the downward version has adequate generalizations to L(ω1,ω) (and, indeed, to all infinitary languages).

  • The depressing news is that there are no categorical first-order theories with infinite models; we can see this at once from the upward Löwenheim-Skolem theorem.

  • Lindstrom has shown that the Löwenheim-Skolem theorems play a key role in characterizing first-order logic itself (Lindström 1966; Lindström 1969; Ebbinghaus 2007).

  • Besides Russell himself, and despite all these complications, Chwistek tried to develop arithmetic in a ramified way, and the interest of such an analysis was stressed by Skolem.

  • The metatheory of second-order logic with Henkin models is very much like the metatheory of classical quantificational logic in that it is complete, compact, and subject to a Löwenheim-Skolem theorem.

Skolem sentence examples

  • Second, we should note that, although this approach requires the Skolemite to start with an independent argument against our ordinary conception of sets, it need not render the Löwenheim-Skolem theorems themselves completely superfluous.

  • Once this preliminary argument is complete, the Skolemite can then proceed to use the algebraic conception of sets (plus, of course, the Löwenheim-Skolem theorems) to defend the claims about set-theoretic relativity that are made in steps 2 and 3 of his argument.

  • Button (2011) has argued that, although this kind of technical criticism has teeth against the version of Putnam's argument which explicitly invokes the downward Löwenheim-Skolem theorem, there are alternate formulations of Putnam's argument which can evade the criticism.

  • In the light of the geometric example, Weyl attacks the concept “defined by means of finitely many words” as not precise, and long before Fraenkel and Skolem, he succeeds in making the separation principle precise: he simply replaces Zermelo’s informal concept of definite property with the notion of ‘relation explicitly definable from extensional equality and membership by means of the basic elementary logical principles’ (we should simply say: first-order definable).


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    Use Skolem in a sentence

    On this page, there are 20 sentence examples for Skolem. They are all from high-quality sources and constantly processed by lengusa's machine learning routines.

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    • 19 sentence examples for Skolem from Stanford Encyclopedia of Philosophy
    • 1 sentence examples for Skolem from Encyclopedia Britannica