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)

Some theories of time entail that the present can change before or after it has happened. Examples include views on which time-travelers can change the past, the glowing block theory, Peter Geach’s mutable future view, and the moving spotlight theory. This paper argues that such ante factum or posthumous change requires a heterodox “split time” view on which earlier-than is not the converse of later-than.

The paper focuses on Nāgārjuna, the founder of the middle way school of Mahāyāna Buddhism. It argues that while Nāgārjuna’s rejection of the notion of ontological independence is justified and corr...

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)

G. H. von Wright proposed that a temporal interval exemplifies a real contradiction if at least one part of any division of this interval involves the presence of contradictorily related (though non-simultaneous) states. In connection with intervals, two negations must be discerned: 'does not hold at an interval' and 'fails throughout an interval'. Von Wright did not distinguish the two. As a consequence, he made a mistake in indicating how to use his logical symbolism to express the notion of real (...) contradiction. The present paper aims to reconstruct and philosophically motivate von Wright's argument for the possibility of real contradictions. (shrink)

We discuss some aspects of the concept of “object” and “objectuation” as suggested by the articulation of modern physics. In particular we analyze the new ontological thickness of the notion ofobject in quantum mechanics and in relativistic quantum mechanics.At the end we try to formulate some modifications of the logical approach to quantum theory in order to grasp the new situation connected with relativistic quantum theory.