Received interpretation. As far as I have been able to determine, all scholars who have dealt with this fragment have followed Plutarch in holding that.

Let all finite sequences of letters of the English alphabet be ordered serially so that shorter sequences precede longer ones, and sequences of the same length are ordered alphabetically. Thus, an ordinal number is assigned to every possible English sentence of finite length. Among these numbers, some--call them S-numbers --will be the numbers of sentences which are instructions for writing down an infinite sequence of numbers. Now, it is impossible to state, in an English sentence of finite length, a generally (...) applicable procedure for determining whether an arbitrarily given number is an S-number. (shrink)

This most stupendous revolution in all intellectual history may seem in retrospect to have been long overdue. However, since myths are far more satisfying, emotionally and esthetically, than metaphysics, which moreover has no immediate survival value, we should wonder not at the tardiness of this development but rather at its having ever got started.

Received interpretation. As far as I have been able to determine, all scholars who have dealt with this fragment have followed Plutarch in holding that and are synonyms for ‘body’ and ‘void’ respectively, and the purport of the pronouncement is simply that ‘even void has a nature and substantiality of its own’ . But is included in Aristotle's dictionary of Atomist jargon, while is put better in the celebrated Fragment 125 . In consequence, Fragment 156 has been deemed more curious (...) than important. Despite the extreme scarcity of Democritean fragments other than moralizings, Kirk and Raven do not even print it. No doubt this assumed unimportance explains why it has not been noticed how unsatisfactory Plutarch's exegesis is. (shrink)

Nevertheless it is unfortunate that the great "sophist" has been cast into the outer darkness. Much of Plato's polemic becomes puzzling if it is not realized that the partisans of "opinion" as against "knowledge" were neither straw men nor the uncultured Many, but the leader and members of a vigorous and influential school, well-matched in their war with the Academy. Furthermore, Isocrates' philosophical views are of interest both intrinsically and as anticipations, sometimes astonishing, of various contemporary movements which profess allegiance (...) to "common sense.". (shrink)

I argue, In opposition to george f burch, That anaximander was not a metaphysician but a natural scientist, And a very great one.

W. I. Matson; VIII—Against Induction and Empiricism, Proceedings of the Aristotelian Society, Volume 62, Issue 1, 1 June 1962, Pages 143–158, https://doi.org/10.

In the particular case of Heraclitus, the complexity of the problem of interpretation is compounded by virtue of the stylistic peculiarities of his expression, which is apophthegmatic, logically asyndetic, cryptically symbolic, and haughtily enigmatic. It is not surprising, therefore, that in successive ages Heraclitus has been held up to glory or obloquy as the teacher of a Flowing Philosophy eventuating in irrationalism and mysticism; as the inspirer of Stoicism, conflagration and all; as the avatar of Satan behind the Monarchian heresy (...) of Noëtus; as he who first dimly discerned the Grundeinsicht of Hegelianism; as a Fascist, a Marxist, a Nietzschean, an Existentialist. (shrink)

In the particular case of Heraclitus, the complexity of the problem of interpretation is compounded by virtue of the stylistic peculiarities of his expression, which is apophthegmatic, logically asyndetic, cryptically symbolic, and haughtily enigmatic. It is not surprising, therefore, that in successive ages Heraclitus has been held up to glory or obloquy as the teacher of a Flowing Philosophy eventuating in irrationalism and mysticism; as the inspirer of Stoicism, conflagration and all; as the avatar of Satan behind the Monarchian heresy (...) of Noëtus; as he who first dimly discerned the Grundeinsicht of Hegelianism; as a Fascist, a Marxist, a Nietzschean, an Existentialist. (shrink)