Franz Brentano_The True and the Evident.pdf
Franz Brentano_The True and the Evident.pdf
Franz Brentano_The True and the Evident.pdf
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Appendix 1: On <strong>the</strong> General Validity of Truth <strong>and</strong> <strong>the</strong> Basic Mistakes 95<br />
What is it, <strong>the</strong>n, that determines <strong>the</strong> value of certain truths <strong>and</strong> indicates that <strong>the</strong>y are<br />
more worthy than o<strong>the</strong>rs to be considered for <strong>the</strong>ir own sake <strong>and</strong> to be combined into a<br />
purely <strong>the</strong>oretical discipline?<br />
What Aristotle required above all was this: if we are to be concerned with <strong>the</strong> necessary<br />
properties of some general concept, <strong>the</strong>n <strong>the</strong>re must be certain objects which fall under that<br />
concept.<br />
This requirement seems justified. Where it is not fulfilled, everything becomes a mere<br />
exercise for <strong>the</strong> wits. And it explains satisfactorily why Aristotle, <strong>and</strong> those who came after<br />
him, never tried to mark off, as a separate <strong>the</strong>oretical discipline, a science of those truths<br />
which merely illuminate concepts <strong>and</strong> which contain no assertoric, empirical data.<br />
If this is what it is that you want to do now, I can hardly feel that it is reasonable.<br />
<strong>The</strong> term “logic” in particular is not to be recommended. <strong>The</strong> term has a fixed <strong>and</strong> wellestablished<br />
meaning. Why make it ambiguous? <strong>The</strong> scientific thinker, after all, is concerned<br />
to remove those ambiguities we already have.<br />
As for <strong>the</strong> investigations which some would call “metama<strong>the</strong>matical”, I am certainly<br />
aware of <strong>the</strong>ir value; I do confess, however, that I regard it as absurd to interpret a<br />
continuum as a set of points. Ma<strong>the</strong>maticians allow <strong>the</strong>mselves, within certain limits, to<br />
make use of absurd fictions with impunity. And this is highly relevant to a practical logical<br />
interest. It was those speculations on possible topoids of more than four dimensions which<br />
finally made evident <strong>the</strong> empirical character of a space of three dimensions. Even Leibniz<br />
was found to be in error, having held that Bayle’s ideas on worlds of more than three<br />
dimensions were impossible a priori.<br />
But <strong>the</strong> most ingenious of ma<strong>the</strong>maticians, such as Euler <strong>and</strong> Descartes, never considered<br />
ma<strong>the</strong>matics as being an end in itself. It is not surprising, <strong>the</strong>refore, that your Felix Klein,<br />
weary of excursions into metama<strong>the</strong>matics, should turn to <strong>the</strong> technological applications<br />
of ma<strong>the</strong>matics.<br />
<strong>The</strong>se are <strong>the</strong> reasons which keep me from accepting all <strong>the</strong> observations in your kind<br />
letter, <strong>and</strong> not a tendency towards what you call “psychologism”.