supertasks

¦, - n, ¦, -3, -2, -1 (such order type is usually denoted with the expression ˜w*™ and the related supertasks can therefore be called supertasks of type w*).

Supertasks Laraudogoitia, Jon Pérez 2004

In supertasks, one frequently encounters infinite numbers of particles, infinite (or unbounded) mass densities, and other dubious infinitary phenomena.

Causal Determinism Hoefer, Carl 2008

The physics of supertasks in the context of the other major closed physical theory, general relativity, will be the topic of the following two subsections.

Supertasks Laraudogoitia, Jon Pérez 2004

Relativity theory thus adds a brand-new, exciting extra dimension to the challenge presented by supertasks.

Supertasks Laraudogoitia, Jon Pérez 2004

In contrast, from the possibility of bifurcated supertasks in Malament-Hogarth space-times strong arguments seem to follow against an intuitionistic philosophy of mathematics.

Supertasks Laraudogoitia, Jon Pérez 2004

But some definitive statement remains to be made about the philosophical problem posed by supertasks: what the state of the world is after they have been accomplished.

Supertasks Laraudogoitia, Jon Pérez 2004

In conclusion, if some supertasks are paradoxical, it is not because of any inherent inconsistency of the notion of supertask.

Supertasks Laraudogoitia, Jon Pérez 2004

The vast majority of interesting examples of supertasks within this theory have been elaborated under the assumption that the particles involved only interact with one another by means of elastic collisions, that is, collisions in which no energy is dissipated.

Supertasks Laraudogoitia, Jon Pérez 2004

At first sight, the intuitionistic criticism of the possibility of supertasks is less effective in the case of bifurcated supertasks, because in this latter case it is not required that there is any sort of device capable of carrying out an infinite number of actions or operations in a finite time (measured in the reference system associated to the device in question, which is the natural reference system to consider).

Supertasks Laraudogoitia, Jon Pérez 2004

As Benacerraf and Putnam (1964) have observed, the acknowledgement that supertasks are possible has a profound influence on the philosophy of mathematics: the notion of truth (in arithmetic, say) would no longer be doubtful, in the sense of dependent on the particular axiomatisation used.

Supertasks Laraudogoitia, Jon Pérez 2004