loveisallyouneed
Well-Known Member
There Are No Ordinary Material Objects:
Ok before I present the argument there are some things people should know. Philosophy has quite a bit to do with rhetoric and very little to do with common sense. This argument pisses the hell out of me because well, it makes absolutely no sense but at the same time makes tonnes of sense. We'll see if anyone has a coherent argument. The idea here is to find a premise that doesn't make sense but the numbers after each line tell you where that line came from, if you accept #1, you must accept #2 and so on. Here goes:
(1) Before us there is a jug whose mass is, let us say arbitrarily, 100,000 milligrams (i.e. 100 grams).
(2) Necessarily, reducing a jug's mass by only one milligram (i.e. .001 grams) never turns the jug into a non-jug. [Premise]
(3) So: For any positive integer n, if a jug has a mass of n milligrams then it would remain a jug even if its mass were reduced to n-1 milligrams. [From (2)]
(4) So: For any n < 100,000, if the jug's mass were reduced to n milligrams, it would remain a jug. [From (1), (3), by Mathematical Induction]
(5) So: If the jug's mass were reduced to 0 milligrams, it would remain a jug. [From (4), by Universal Instantation]
(6) Necessarily, no jug has a mass of 0 milligrams. [Premise]
(7) So: It is not the case that (5). [From (6)]
(8 ) So: It is not the case that (1); there is not a jug before us. [From (1), (5), (7), by Reductio ad Absurdum]
(9) The jug is a paradigm case of an ordinary material object: If there is not a jug before us, then there are no ordinary material objects. [Premise]
(10) So: There are no ordinary material objects. [From (8 ), (9), by Modus Ponens]
Insane I know. I would love to prove the argument wrong but some very smart peers have been shut down cold by my prof.
Ok before I present the argument there are some things people should know. Philosophy has quite a bit to do with rhetoric and very little to do with common sense. This argument pisses the hell out of me because well, it makes absolutely no sense but at the same time makes tonnes of sense. We'll see if anyone has a coherent argument. The idea here is to find a premise that doesn't make sense but the numbers after each line tell you where that line came from, if you accept #1, you must accept #2 and so on. Here goes:
(1) Before us there is a jug whose mass is, let us say arbitrarily, 100,000 milligrams (i.e. 100 grams).
(2) Necessarily, reducing a jug's mass by only one milligram (i.e. .001 grams) never turns the jug into a non-jug. [Premise]
(3) So: For any positive integer n, if a jug has a mass of n milligrams then it would remain a jug even if its mass were reduced to n-1 milligrams. [From (2)]
(4) So: For any n < 100,000, if the jug's mass were reduced to n milligrams, it would remain a jug. [From (1), (3), by Mathematical Induction]
(5) So: If the jug's mass were reduced to 0 milligrams, it would remain a jug. [From (4), by Universal Instantation]
(6) Necessarily, no jug has a mass of 0 milligrams. [Premise]
(7) So: It is not the case that (5). [From (6)]
(8 ) So: It is not the case that (1); there is not a jug before us. [From (1), (5), (7), by Reductio ad Absurdum]
(9) The jug is a paradigm case of an ordinary material object: If there is not a jug before us, then there are no ordinary material objects. [Premise]
(10) So: There are no ordinary material objects. [From (8 ), (9), by Modus Ponens]
Insane I know. I would love to prove the argument wrong but some very smart peers have been shut down cold by my prof.