PHILOS 2 Lecture Notes - Lecture 3: Monism, Logical Form, Natural Number
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Philos 2 lecture 3 ze(cid:374)o"s paradoxes. O(cid:374)tologi(cid:272)al (cid:373)o(cid:374)is(cid:373): (cid:271)elief that there is o(cid:374)ly o(cid:374)e thi(cid:374)g i(cid:374) reality; there (cid:272)a(cid:374)"t (cid:271)e a multitude of diverse things > parmenides. If space is continuous, then between ay 2 points in space, there is a third. > for any length, there is a length that is half as long; for any amount of time, there is a period that is half that time. If space is discrete, there are lengths which are not divisible. Ze(cid:374)o"s two-pronged strategy: space and time must either be continuous or discrete, either assu(cid:373)ptio(cid:374) leads to the (cid:272)o(cid:374)(cid:272)lusio(cid:374) that (cid:373)otio(cid:374) is i(cid:373)possi(cid:271)le . Nothing can ever catch anything from behind: racetrack paradox space and time are continuous. Is it impossible for anything to move any distance at all in a finite time. Imagine you need to move from point a to point b. You need to complete an infinite series of journeys before you can travel any distance.