Sentence examples for mathematical entities that from inspiring English sources

Third, they are conceived as mathematical entities that are related to the observable world in certain determinate ways.

The argument of the Russell paradox defines the collection C of all mathematical entities that satisfy ¬x∈ x.

But revolutionary fictionalism suggests a complication: even if, in some sense, quantification over mathematical entities is indispensable to our best theory of the world, perhaps it is not literal quantification over mathematical entities that is thus indispensable.

One must have ontological commitments to mathematical entities that are assumed to exist.

Mathematical entities that are assumed to exist are indispensable to the best scientific theories.

We conclude that structurally, protein interaction networks are mathematical entities that share properties between organisms but not necessarily with other networks that follow power-law.

In Linsky and Zalta's version of plenitudinous platonism, the mathematical entity that is postulated by a consistent mathematical theory has exactly the mathematical properties which are attributed to it by the theory.

The mathematical entity that describes a network is called a graph.

That is, he attempts to show that we could do without quantification over mathematical entities and that what we would be left with would be reasonably attractive theories.

At a fundamental level, the field of game theory evolved from the mathematical exploration of conflict situations between rational entities that make predictable and reproducible choices (Von Neumann and Morgenstern, 1944).

Similarly, even though some nominalists need not be committed to mathematical objects, they may be committed to other entities that may also raise ontological concerns (such as possibilia).