During the first phase of Greek mathematics a proof consisted in showing or making visible the truth of a statement. This was the epagogic method. This first phase was followed by an apagogic or deductive phase. During this phase visual evidence was rejected and Greek mathematics became a deductive system. Now epagoge and apagoge, apart from being distinguished, roughly according to the modern distinction between inductive and deductive procedures, were also identified on account of the conception of generality as continuity. (...) Epistemology of mathematics today only remembers the distinction, forgetting where they agreed, in this manner not only destroying the unity of the perceptual and conceptual but also forgetting what could be gained from Aristotelian demonstrative science. (shrink)

The paper reviews criteria which have been used to distinguish science from nonscience and from pseudo–science, and it examines the extent to which they can usefully be applied to “creation science.” These criteria do not force a clear decision, especially as creation science resembles important eighteenth–century forms of orthodox science. Nevertheless, the proponents of creation science may be accused of pious fraud in failing to concede in their political battles that their “science” is tentative and tendentious and will continue to (...) be so while it remains archaic and poorly integrated into the rest of science. (shrink)

Inthisarticle,IreconstructKazimierzAjdukiewicz’sviewthathecalledradical conventiona‐ l i s m (as opposed to moderate conventionalism developed by Henri Poincaré and Pierre Duhem). then, I recall little‐known criticism of this approach developed by Stefan Amsterdamski. Finally, I demonstrate, contrary to the conception of the originator’s declarations, that a radical conventio‐ nalism is not a ‘paper ction’. On the other hand, the standpoint of radical conventionalism is useful due to the precision of expressions provided to it by Ajdukiewicz; it shows the di culties that have to (...) be tackled by each philosophical approach assuming a social constructivism or related notion. (shrink)

The Michael Heller’s article entitled “How is philosophy in science possible?” was originally published in Polish in 1986 and then translated into English by Bartosz Brożek and Aeddan Shaw and published in 2011 in the collection of essays entitled Philosophy in Science. Methods and Applications. This seminal paper has founded further growth of the ‘philosophy in science’ and become the reference point in the methodological discussions, especially in Poland. On the 40th anniversary of Philosophical Problems in Science we wanted to (...) make this paper freely available to the international public by reprinting its English version. In this issue it is followed by two additional articles-commentaries. (shrink)