Definitions

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • adjective Of or pertaining to a polyad
  • adjective Comprising many elements

Etymologies

Sorry, no etymologies found.

Examples

  • Now we might expect this form of realism to appeal to anyone committed to realism without polyadic properties.

    Medieval Theories of Relations

  • Having ruled out the possibility of their being polyadic, however, the medievals don't leave themselves with many options.

    Medieval Theories of Relations

  • There is some disagreement as to the precise analysis of the situations that makes these sorts of predications true, but even here the medievals work out their views from within a common framework provided by Aristotle's Categories: relational situations do not include anything corresponding to the notion of a polyadic property, but instead include only substances and their monadic properties or accidents.

    Medieval Theories of Relations

  • As mentioned above, on the simplest or most ontologically parsimonious form of realism without polyadic properties, what we are calling ˜reductive realism™, paradigmatic relations are identified with ordinary, non-relational monadic properties or accidents.

    Medieval Theories of Relations

  • And if that by itself weren't enough, there is the fact that medievals habitually speak of relations in polyadic terms, explicitly comparing them to a road

    Medieval Theories of Relations

  • What recent advances in logic have made possible is not the concept of a polyadic property, but merely its representation within a formal system.

    Medieval Theories of Relations

  • According to Albert, the problem with arguments of the sort Auriol gives is that they rely on a questionable assumption, namely: if there are no real polyadic forms or properties, then there is nothing in extramental reality to correspond to our relational concepts.

    Medieval Theories of Relations

  • The result of these apparent limitations is that Kant's logic is significantly weaker than “elementary” logic (i.e., bivalent first-order propositional and polyadic predicate logic plus identity) and thus cannot be equivalent to a mathematical logic in the Frege-Russell sense, which includes both elementary logic and also quantification over properties, classes, or functions (a.k.a. “second-order logic”).

    Kant's Theory of Judgment

  • In particular, what do they say about arguments such as Auriol's, which in effect deny the coherence of realism without polyadic properties?

    Medieval Theories of Relations

  • Now in the case of substances, it is perhaps clear that they are not polyadic in nature.

    Medieval Theories of Relations

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