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nalist, we assume, professes after all to stand or fall by reasoning. That is to say, he claims to hold his supernaturalist positions in logical and moral consistency with his historical positions, his practice as a judge or juror, as a man of science, as a critic in politics, as a man of honour, as a player of cricket by the rules of the game. As a matter of fact, however, he at times goes about the task by way of an undertaking to show, not that his beliefs are well founded in reason, but that no beliefs are; and that his beliefs are therefore at least as valid as any one else's. All the while he is ostensibly appealing to reason, to judgment. That position in turn must be considered. Sec. 5. THE SKEPTICAL RELIGIOUS CHALLENGE The philosophic issue under this head has been usefully cleared for English readers by Mr. A. J. Balfour in his _Defence of Philosophic Doubt_; and, in another sense, very usefully for rationalists by the same writer in his work _The Foundations of Belief_. The gist of the former treatise is an expansion of the proposition of Hume that all moral judgments, on analysis, are found to root in a sentiment or bias. In particular, Mr. Balfour argues that all scientific beliefs so-called, however immediately proved, rest upon general beliefs which are 'incapable of proof.' It is noteworthy that never through the whole treatise does Mr. Balfour analyse the concept of 'proof,' though his main aim is ostensibly to discriminate between proved and unproved propositions. It may be worth while, then, at this stage, to note the risks of intellectual confusion in connection with the term proof. The common conception, implicit in Mr. Balfour's argument, is that concerning a 'proved' thing either we have, or men of science say we have, a right of certainty, as it were, which we cannot have concerning anything not proved or not capable of proof. The simple fact is that the very idea of proof involves that of uncertainty you seek to prove that which is not unquestionable. To prove is to _probe_,[8] to test. The idea of 'demonstration,' which seems commonly to connote special certainty, carries us no further. It means a 'showing,' a 'letting you see with your own eyes.' In geometry, it stands for a chain of reasoning in which every step rests upon previous steps which ultimately rest upon axioms and definitions agreed upon. There the process is one of analysis--a showing that a proposition formerly unknown
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