The first translation into Ukrainian and French of the article "Saber comum e ceticismo” (Common knowledge and skepticism) by Osvaldo Porchat Pereira (1933–2017), which became one of the classic sources of modern Brazilian Neopyrrhonism.

This chapter tries to answer the following question: How should we conceive of the method of mathematics, if we take a naturalist stance? The problem arises since mathematical knowledge is regarded as the paradigm of certain knowledge, because mathematics is based on the axiomatic method. Moreover, natural science is deeply mathematized, and science is crucial for any naturalist perspective. But mathematics seems to provide a counterexample both to methodological and ontological naturalism. To face this problem, some authors tried to naturalize (...) mathematics by relying on evolutionism. But several difficulties arise when we try to do this. This chapter suggests that, in order to naturalize mathematics, it is better to take the method of mathematics to be the analytic method, rather than the axiomatic method, and thus conceive of mathematical knowledge as plausible knowledge. (shrink)

The ArgumentRecent studies in the philosophy of mathematics have increasingly stressed the social and historical dimensions of mathematical practice. Although this new emphasis has fathered interesting new perspectives, it has also blurred the distinction between mathematics and other scientific fields. This distinction can be clarified by examining the special interaction of thebodyandimagesof mathematics.Mathematics has an objective, ever-expanding hard core, the growth of which is conditioned by socially and historically determined images of mathematics. Mathematics also has reflexive capacities unlike those of (...) any other exact science. In no other exact science can the standard methodological framework usedwithinthe discipline also be used to study the nature of the discipline itself.Although it has always been present in mathematical research, reflexive thinking has become increasingly central to mathematics over the past century. Many of the images of the discipline have been dictated by the increase in reflexive thinking which has also determined a great portion of the contemporary philosophy and historiography of mathematics. (shrink)

According to falsificationism, a theory is scientific if it can be incompatible with some empirically testable statements. This epistemological approach has been criticized because, in practice, it is impossible to decide when a particular fact should be considered incompatible with a theory. These criticisms, however, neglect the fact that the Popperian sense of falsification is a “logical sense.” Thus, the Popperian criterion of falsifiability only requires that, assuming certain auxiliary hypotheses, the theory in question be logically incompatible with some empirically (...) testable statements. This paper presents a reassessment of these criticisms, justifying that the criterion of falsifiability is unrenounceable insofar as our best theories should aspire to satisfy it. (shrink)

A standard problem in empirical inquiry is how to adjudicate between contending theories when they work from different fundamental assumptions. In the field of political sociology, several strategies are adopted, from metatheoretical and comparative historical approaches to the recent formal models of scientific growth proposed by Imre Lakatos and Larry Laudan. After considering the limitations of these approaches, I develop an alternative strategy—"second—order empiricism"—based on the idea that successor theories have an onus to explain the apparent success of their rivals, (...) not only their own and their rivals' anomalies. Such a strategy, I argue, underscores some of the most effective analysis and argument in political sociology, yet is obscured by the appeal to other methodologies. (shrink)

Explicatures are not cancellable. Theoretical considerations.

According to a view going back to Plato, the aim of philosophy is to acquire knowledge and there is a method to acquire knowledge, namely a method of discovery. In the last century, however, this view has been completely abandoned, the attempt to give a rational account of discovery has been given up, and logic has been disconnected from discovery. This paper outlines a way of reconnecting logic with discovery.

Feyerabend and Lakatos were invited to be assistants of the literary Marxists Brecht and Lukács, respectively. In the 1930s Expressionism Debate, Lukács associated artistic expressionism with irrationalism and fascism, while Brecht criticized Lukács' anti-modernism. Lakatos' criti cisms of Kuhn echo Lukács' denunciations of German idealism, and Lukács influenced the terminology and topics in Lakatos' methodol ogy. Lakatos, concerned with progress, and fearful of irrationalism and degeneration, recapitulates positions of his teacher, Lukács, in the latter's attack on modern art. Feyerabend's criticisms (...) of Lakatos paral lel Brecht's critique of Lukács. (shrink)

Yarkoni recommends that psychology researchers should take care to align their statistical models to the verbal theories they are studying and testing. This principle applies not just to qualitative theories in psychology but also to more quantitative sciences: there, too, mismatch between open-ended theories and specific statistical models have led to confusion.

According to a view going back to Plato, the aim of philosophy is to acquire knowledge and there is a method to acquire knowledge, namely a method of discovery. In the last century, however, this view has been completely abandoned, the attempt to give a rational account of discovery has been given up, and logic has been disconnected from discovery. This paper outlines a way of reconnecting logic with discovery.