Re: Is a priori knowledge possible?
Posted: May 15th, 2014, 9:07 am
Fafner
Until it happens then there is no experiment, observation, sum, definition etc. which could show your claim to be true or false, so it cannot be a fact.
Once again; Is 'God is omnipotent' also a 'fact about the world'? Surely it is a claim about God. And for it to be true, God would have to exist. Otherwise we are in the strange position of saying that a non-existent God might still be omnipotent.
When I wrote 'you have to fix the meanings of the terms you want to turn into symbols that can be used in logic' it is true that one possibility would be that it was simply of the 'Glog/Quog' type. In that case, since it doesn't involve a claim about objects, then the meaning of 'true' or 'false' in the truth table wouldn't concern objects either.
Similarly, if we formulate a proposition, like your one about 'a person who is going to be born' we need to look carefully at what that phrase means; Is an unborn person an object? And so on. We can't just assign it a letter symbol in a logical form until we are clear what that symbol represents.
As it stands, it is ambiguous. It could mean; 'They are such things as square circles, but these particular objects are not square circles.' That would be about objects and could be true or false. Instead (I take it), it denies that there could be such objects as square circles.
To assert a 'non-object' isn't to assert of sort of object. We can see this because a non-square circle has identical properties to a non-triangle and a non-mountain and a non-anything else. (Apples multiplied by zero is the same thing as pears multiplied by zero.) If the 'object' bit of that 'non-object' is the same as the object in any 'no-object', then you are asserting 'no-thing'.
Similarly, if you put it into a formula, how would you write it? If P stands for square circles, then you are saying there are P x 0 (zero). But we can work that sum out, and the answer again is 0. Zero is not a proposition; it has no content; you cannot use 'nothing' to prove 'something'.
Then you should give some evidence from Russell's and Wittgenstein's writings (and anyway, I can use examples from Russell without subscribing to his views, so it just doesn't matter whether he would agree with me or not).I already did; I suggested you had a look at Wittgenstein's 'Tractatus Logico-Philosophicus' and the introduction by Russell.
The idea is that a sentence like "the first person who is going to be born in the year 2017 will be a female" is either true or false, and if it's a true then it's a fact about the world, whether we can know it or not.It will be a fact about the world only when it happens; and when it happens we will have to determine its truth empirically.
Until it happens then there is no experiment, observation, sum, definition etc. which could show your claim to be true or false, so it cannot be a fact.
Once again; Is 'God is omnipotent' also a 'fact about the world'? Surely it is a claim about God. And for it to be true, God would have to exist. Otherwise we are in the strange position of saying that a non-existent God might still be omnipotent.
I don't think it's correct. It's possible to write the truth table of a sentence like "if something is a Glog then it's also a Quog" without knowing what the terms mean (and in fact they mean nothing).Yes, just as we can write '2+3=5' without knowing 'a quantity of 5 of what?'. But a 'synthetic a priori' proposition (in your sense) would be one that does have an 'of what'. Glog etc. has to be about a 'thing'. The object is to have proved beyond contradiction an equivalent of 'there are 5 apples', such that the normal philosophical doubts that would attend such a statement as an empirical claim no longer apply.
When I wrote 'you have to fix the meanings of the terms you want to turn into symbols that can be used in logic' it is true that one possibility would be that it was simply of the 'Glog/Quog' type. In that case, since it doesn't involve a claim about objects, then the meaning of 'true' or 'false' in the truth table wouldn't concern objects either.
Similarly, if we formulate a proposition, like your one about 'a person who is going to be born' we need to look carefully at what that phrase means; Is an unborn person an object? And so on. We can't just assign it a letter symbol in a logical form until we are clear what that symbol represents.
It was just an example to illustrate that there are true sentences which describe logically impossible objects, like the example "there's no square circles". Do you really dispute that it's a true statement?It is true, but it is not about an object.
As it stands, it is ambiguous. It could mean; 'They are such things as square circles, but these particular objects are not square circles.' That would be about objects and could be true or false. Instead (I take it), it denies that there could be such objects as square circles.
To assert a 'non-object' isn't to assert of sort of object. We can see this because a non-square circle has identical properties to a non-triangle and a non-mountain and a non-anything else. (Apples multiplied by zero is the same thing as pears multiplied by zero.) If the 'object' bit of that 'non-object' is the same as the object in any 'no-object', then you are asserting 'no-thing'.
Similarly, if you put it into a formula, how would you write it? If P stands for square circles, then you are saying there are P x 0 (zero). But we can work that sum out, and the answer again is 0. Zero is not a proposition; it has no content; you cannot use 'nothing' to prove 'something'.