Sentences with phrase «axiomatic systems»

Scientists themselves seem to have little interest in setting up formalized axiomatic systems; there are in fact few, if any, clear examples of theories which have been completely axiomatized.

The notoriously austere axioms for an abstract group or a topological space resemble cosmetically any number of simple axiomatic systems that one might construct.

Axiomatic systems were not possible before this and neither was any evidentialist system.

Strictly speaking we would need a few other assumptions in order to turn economics into a fully axiomatic system.

The goal of Principia Mathematica is to provide a formal system which attempts to encapsulate the whole of pure mathematics in a complete axiomatic system — an enterprise which, according to the theory of Gödel, was doomed to failure.

Also a number of our philosophers of history, in their discouragement, reduce the unfolding of events to the mathematical application of an arbitrary axiomatic system of their own invention.

Whatever axiomatic system you base your calculations on, there are true statements that lie beyond the system's reach.

Not exact matches

it's good if it gets more people to stop following these ridiculous belief systems that have zero grounding in the realities of life that we now know to be axiomatic to existence.

One reason for the highly abstract conceptual mapping of systems concepts is found in the procedural recommendations of the hypothetical - deductive method, with its emphasis upon the axiomatic approach.

Hence the method is similar to that of a deductive system, i.e., the axiomatic method (PW 98/103).

Necessity rules only within the system of propositions resulting from a particular freely posited axiomatic base.

Whitehead's metaphysical system, on the other hand, utilizes the axiomatic structure to form a coherent matrix of categories, yet, like Plato's Timaeus, offers an explanation of the limitations inherent in any cosmological endeavor.

That is, Whitehead modeled his metaphysical system on the axiomatic treatment of logical systems.

But to this the sufficient reply is that although it is clear that Whitehead is not proceeding deductively, his setting out a definite statement of his first principles at the outset of his system indicates that he held the axiomatic method to he an ideal form in which one should strive to organize thought into a system.

1 Some logicians may here object that the very meaning of the term «axiomatic» is unforgivingly deductive and that Whitehead's metaphysical system can hardly satisfy this requirement.

It's difficut to think about competing value systems these days, because the utility or price theory of value has become so entrenched with orthodox, post-classical and neo-classical economists that it has become axiomatic.

It's going to be difficult for Jelbring to defend the conclusion that «temperatures vary in a system in thermal equilibrium» and not contradict the axiomatic statement of the zeroth law.

They echo other famous limitations on scientist's expectations, namely the undecidability of some propositions within axiomatic mathematical systems (Gödel's theorem) and the uncomputability of some algorithms due to excessive size of the calculation (see ref.

They echo other famous limitations on scientist's expectations, namely the undecidability of some propositions within axiomatic mathematical systems (Gödel's theorem) and the uncomputability of some algorithms due to excessive size of the calculation.