Sentence examples for construct a proof from inspiring English sources

The economist Kenneth Arrow went so far as to construct a proof that no voting system could be reliably fair.

Doubt everything until you are left with irreducible truths, and then build logically and deductively from those axioms, constructing a new order as you would construct a proof in geometry.

Sometimes one discovers something by means of visual thinking using background knowledge, resulting in a cogent argument from which one could construct a proof.

This outline, i.e., the abstract proof plan, can be recursively expanded and it will thus construct a proof within a logical calculus.

In order to work constructively, we need to re-interpret not only the existential quantifier but all the logical connectives and quantifiers as instructions on how to construct a proof of the statement involving these logical expressions.

Our concern here is thinking through the steps in a proof, either for the first time (a first successful attempt to construct a proof) or following a given proof.

Our next goal was to construct a proof-of-concept of a biologically meaningful classification of the interaction interfaces, using the feature-based similarity measure.

While NK constructs an actual proof (of the conclusion from the given assumptions), LK instead constructs a proof that proves the existence of a proof (of the conclusion from the assumptions).

Decidability means that at present for any given $n$ there exists (can be constructed) a proof of $A(n)$ or of $\neg A(n)$.

For example, ∃E tells us that if in the process of constructing a proof one has already derived ∃xα(x) and also β with α(a/x) as an auxiliary assumption then the inference to β is allowed.

"My reasoning was: if I made an error and someone used my work to construct a correct proof I would be pleased," he said.