(1) He had divided these indemonstrable principles into axioms, which are common to all sciences, and postulates, which are particular to a specific subject such as geometry.(2) Recognizing the indemonstrable is a necessary precursor to understanding the nature of a parable.(3) Part of the issue rests on the requirement that first principles, which assert primary, indemonstrable attributes of their subjects, be necessary truths.(4) Parties must prove the circumstances used as a basis to substantiate their claims and replications except for circumstances that are considered indemonstrable in accordance with the procedure defined by the Code.(5) You beg the question by merely reasserting that God's existence is indemonstrable .(6) So the real, indemonstrable axioms are identical propositions.(7) They claim the bench of science as judge, yet make indemonstrable statements of faith (the god of Chance).(8) Actually, the number of diseases, deaths and social costs are indemonstrable since there is a huge number of factors that can confound the attribution to smoking, and also because of the ignorance of medicine about the precise causes of diseases such as cancer in general, lung cancer in particular, cardiovascular diseases and so on.(9) But if it is an indemonstrable principle it is a position, which is divided into supposition without qualification and definition.(10) Dedekind regards this principle as being essentially indemonstrable ; he ascribes to it, rather, the status of an axiom ‘by which we attribute to the line its continuity, by which we think continuity into the line.’
