Sentence examples for theory of infinity from inspiring English sources

Bruno developed his theory of infinity not only by relying on metaphysical arguments but also on a radical revision of the Aristotelian definition of space, which he understood as a continuous quantity.

The theory of the infinity of the world was not itself new, having been formulated in various forms before Bruno, notably by Lucretius, whom Bruno read avidly, and more recently by Nicholas of Cusa.

Grosseteste's theory of unequal infinities served as the basis of a theory of how God measured the world he created.

He shows that the logical operations that are both permutation-invariant and absolutely definable with respect to Kripke Platek set theory without an axiom of infinity are just those definable in first-order logic.

Julian Schwinger and Richard Feynman in the United States and Tomonaga Shin'ichirō in Japan proved that they could rid the theory of its embarrassing infinities by a process known as renormalization.

According to Maddy's theory, the infinity of sets associated with a given physical object is formed into a unique structure, and all set-theoretic questions are answerable by studying that specific structure.

In particular, the theory of a bifurcation from infinity was developed mainly by Rabinowitz [17].

Our proofs uses algebraic topological arguments and the tools of the theory of critical points at infinity; see [38].

Our method to prove Theorems 1.1 and 1.2 is based on the techniques related to the critical points at infinity theory of Bahri [26].

Using the theory of critical points at infinity, we establish an Euler Hopf type formula and obtain some existence results for curvature satisfying assumptions of Bahri Coron type.

So, when we add the Axiom of Infinity, the resulting theory Z1 (known as Zermelo set theory with Choice) not only proves the consistency of Z0; it proves that there is a standard model of Z0.