Takuo Aoyama

This paper presents what the authors call the ‘divergence problem’ regarding choosing between different future possibilities. As is discussed in the first half, the central issue of the problem is the difficulty of temporally locating the ‘active cause’ on the modal divergent diagram. In the second half of this paper, we discuss the ‘second-person freedom’ which is, strictly, neither compatibilist negative freedom nor incompatibilist positive freedom. The divergence problem leads us to two hypothetical views (i.e. the view of single-line determination and that of one-off chance), and these views bring humans closer to the afree side – i.e. outside of the contrast between being free and being unfree. The afree side is greatly different from the ordinary human side. This paper tries to secure the second-person freedom as a substitute for the ordinary human freedom while preventing the divergence problem from arising.

McTaggart has an insight that changes of property rely on changes of tense (McTaggart 1908). As I show in this paper, he fails to define A-series as a series for changes of tense, and therefore his proof for the unreality of time is unsuccessful. A-series found in the proof is reduced to a number of mere indexicals of time, and this reduction is pushed forward in Dummett's defense. My aim in this paper is not only to check the validity of their arguments but to investigate invincible difficulties faced in defining changes of tense. The latter is my main aim, and the former is a preliminary argument for it.

Achilles need not catch the tortoise, although Achilles is faster than the tortoise. Zeno's premise does not determine whether Achilles can catch up. In this paper, I clarify this fact through a critical examination of Noya (2005), which criticizes Aoyama (2002) and Uemura (2002). Noya's solution smuggles the unnecessary premise of equal ratio to make Achilles catch up. However, his solution gives a new idea about what speed is. In the last part of this paper, I develop this idea and explain the reason why Achilles usually catches up in the actual world.