In Metaphysics Γ, Aristotle argues against those who seem to accept contradictions. He distinguishes between the Sophists, who deny the principle of non-contradiction through arguments, and the Natural Philosophers, whose physical investigations lead to the acceptance of objective contradictions. Heraclitus’ name appears throughout the discussion. Usually, he is associated with the discussion against the Sophists. In this paper, I explore how the discussion with the Natural Philosophers may illuminate both the interpretation of Heraclitus by Aristotle and Heraclitus’ own worldview. To (...) refute the Natural Philosophers, Aristotle proposes a general reconstruction of their reasoning. Roughly, relying on sensory evidence (A1), they see that the same thing changes from one opposite to another (A2). Such a change appears to characterize a generation out of non-being, which a Natural Philosopher does not accept (A3). To solve the problem, despite their different worldviews, Natural Philosophers hint at a state in which opposites co-occur, characterizing an objective contradiction (C). Looking at the discussion in Metaphysics Γ and Heraclitus fragments, sections 1–3 show how assumptions A1, A2, and A3 easily apply to Heraclitus. The case of the conclusion is more challenging. In the case of the Pluralists, the co-existence of opposites characterizes a state in which there is no generation. Such a view does not fit Heraclitus’ mobilism. To argue that Aristotle’s argument is general enough to encompass dynamic views, I examine his problematization of accepting the change of change in Metaphysics K and Physics V. There, after re-stating several points that appear in Metaphysics Γ, Aristotle argues that accepting the becoming of another becoming leads to a state of contradiction in which the becoming is perishing. Heraclitus’ B8, cited in Nicomachean Ethics, gives evidence that, for Aristotle, Heraclitus puts a process at the origin of an opposite process. Moreover, after examining the expression ‘living the death/dying the life’ in B62, I argue that Heraclitus was aware that his worldview implied a dynamic objective contradiction. Finally, an analysis of elemental changes in B36 proves that accepting objective contradictions does not make Heraclitus’ worldview less attractive. (shrink)

Heraclitus uses paradoxical language to present the relationship between opposites in his worldview. This mode of expression has generated much controversy. Some take the paradoxes as evidence of a contradictory identity of opposites (Barnes), while others propose a dynamic union through transformation without identity that avoids the contradiction (Graham). By examining B88 and B62, I seek to identify the stronger and weaker points of such readings. The contradictory identity reading thwarts the transformation between opposites. The dynamic reading offers a plausible (...) alternative. However, it skips a characterization of how Heraclitus conceives of the transformation between opposites in physical terms. To fill this gap, I consider Heraclitus’ use of what I call the anti-cognate internal object in B62. I argue that ‘living the death and dying the life’ is a case of change as mixture, a popular conception among the early Presocratics. Upon closer examination, the anti-cognate internal object suggests that real contradictions belong to Heraclitus conception of change. The details reveal a philosophically compelling view. (shrink)

The chapter presents the prototyping of a thinking routine designed to foster good inference habits in children ages 6 to 11. The prototyping was developed at Ninho, an educational project for children from underprivileged households in Brazil. The thinking routines by Ritchhart and colleagues (2006) served as our starting point. Following a Virtue Education (VE) approach, we supposed that the repeated application would conduce to habituation. In addition, to increase peer-to-peer interactions, the teacher applying the routines worked as a facilitator (...) in a Community of Inquiry (CI). After six months of application, the results were partially successful. We identified that the repeated exposition to the magic question “What makes you say that?” made children more aware of the evidence supporting their assumptions. Furthermore, the interactions between peers made them recognize different perspectives. However, we also identified some shortcomings. Most of them seemed to arise from cognitive biases. At the individual level, belief perseverance kept children too attached to their first assumptions. They preferred self-serving rationalizations instead of accepting a counter-argument. At the group level, we identified problems of social contagion such as information cascades. The effects of a first opinion rhetorically voiced were hard to efface. Since none of the steps on the previous routines addressed these biases, we prototyped a routine to start filling this gap. Following Critical Thinking (CT) theorists, we added a step of structured instruction concerning one specific reasoning technique - the inference to the best explanation. Moreover, the recommendation of cognitive psychologists motivated the inclusion of some extra features to avoid groupthink biases. For instance, a visual table that juxtaposes contrasting arguments should facilitate comparative evaluations. Also, a star-based evaluation scale should help different individuals to discuss their assessments based on a common ground. As described in the end, the prototype with elements from VE, CI and CT presented promising results. (shrink)

This article aims to throw light on a recurrent structural feature of Heraclitus' style that, it will be argued, serves as a tool to enrich interpretation of his fragments. Named after the bow image used by the philosopher in B51, the ‘bow composition’ will be presented as a narrative technique developed by Heraclitus to reveal his conception of the world. In B51 we read: οὐ ξυνιᾶσιν ὅκως διαϕερόμενον ἑωυτῶι ὁμολογέει· παλίντροπος ἁρμονίη ὅκωσπερ τόξου καὶ λύρης (‘They don't understand how what (...) is in variance agrees with itself, a reciprocal stretching harmony as in the bow and the lyre’). Following an assumption that will be defended later, I argue that Heraclitus attempts through his text to demonstrate how ‘what is in variance agrees with itself’. One of his strategies to this end would be the bow composition, a way to structure his statements in which its first and last terms share the same root but have subtle suffix or prefix differences in order to depict that while being related (ὁμολογέει) they still maintain some difference (διαϕερόμενον). By means of employing such structure to describe reality Heraclitus would imitate the world order in his word order by providing his audience with an analogy that once perceived in the text would teach them how to correctly interpret nature itself. (shrink)

The paper attempts to reconstruct Vlastos’ method of research into the history of philosophy using his Degrees of Reality as a case study. To do so, I rely on the extensive materials available in the Vlastos Archive. Through the palimpsest of superimposed revisions in his documents as well as the letters exchanged with his colleagues, I will go through the gestation of a whole new perspective in dealing with Plato’s conception of the reality of abstract objects. Furthermore, the focus on (...) the process rather than on the results will provide an inside view on Vlastos’ ground-breaking use of analytical tools in developing research in the field of history of philosophy. (shrink)