Soft question – What does rigorous proof mean? – Mathematics …

Soft question – What does rigorous proof mean? – Mathematics …

A proof is a succession of trivial steps, leading from one statement to another. To be perfectly rigorous, the trivial steps should be either axioms, or theorems proven in equally rigorous manner (and references to said proofs).

What makes for a rigorous proof? – Mathematics Stack Exchange

Note: a rigorous proof and a formal proof are not the same thing. A formal proof is a very well defined structure, it is a directed tree of expressions where every single node is a proposition, every edge is a rule of inference, the sources are axioms, and the sink is your theorem.

What does rigorous proof mean? – Quora

A rigorous proof means that you demonstrate that the asserted outcome arises from the premise through an unbroken chain of steps each of which is logically clear. … What does rigorous proof mean in the absence of computer verification? … What is a simple example of a rigorous …

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Rigorous proof legal definition of rigorous proof – Legal Dictionary

Definition of rigorous proof in the Legal Dictionaryby Free online English dictionary and encyclopedia. What is rigorous proof? Meaning of rigorous proof as a legal term. What does rigorous proof mean in law?

Mathematical proof – Wikipedia

In fact, the vast majority of proofs in written mathematics can be considered as applications of rigorous informal logic. Purely formal proofs, written in symbolic language instead of natural language, are considered in proof theory. The distinction between formal and informal proofs has led to much examination of current and …

Rigour – Wikipedia

This was contrary to the idea of rigorous proof where all conditions need to be stated and nothing can be assumed. New foundations were developed using the axiomatic method to address the lack of rigour in the Elements. During the 19th century, the term ‘rigorous’ began to be used to describe decreasing levels of …

The Concept of’Rigorous Proof’

The concept of ‘rigorous proof*. JEAN DIEUDONNE. Mathematicians of every age have been seen to criticize the proofs of their predecessors or of their contemporaries as ‘not being rigorous’; and often those which they proposed as replacements for the defective proofs were in their turn considered inadequate by the …

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