Thanks roger, I think I'll start from the intro and the chapters that deal with space and time. My understanding of maths is poor, I have never studied it. I hope I can still understand what Kant is trying to say and whether or not I agree with his points.
Can anyone give me more examples (in non-technical terms) of why Kant would disagree with this? And what is the truth that he claimed to have arrived at?
Have you read the wiki article on this book? I haven't read every word of it, but it seems to be a good synopsis.
As an example: he claims that two parallel lines cannot enclose a space and thus form a figure. He tried to prove the converse, and failed. Thus, he concludes, this is not provable through logic, but is still knowledge that we have
a priori - through intuition, if you will.
Okay, first of all, parallel lines
do meet in 4 dimensional curved space - which is how our universe is shaped. Second of all, failure to prove something is not evidence that it is not true. There's a million math theorems I am personally incapable of proving - yet somebody else has proved them. Failing to prove something is not the same as proving something is not true. It's just a personal failure.
And thus we can confidently say that his synthetic a priori is bunk. He was sure he was right, but he was very, very wrong. He had no way to know that because his method gave him no way to test his conclusions. All he did was assume he was right when he failed to find a counter-argument. Well, we now know the counter-arguments. He was wrong.
"I know it's true because, well, I just
know it" is the battle cry of the psychics, of the homeopaths, of the dowser, of the charlatan. It's not a reliable path to truth - it's just a path to a made up world that bares no resemblance to reality. Yes, he dresses it up in fancy terms like "transcendental dialectic" and such, but that is all it boils down to.
Come to think of it, Behe (of irreducible complexity fame) is a perfect Kantian. He can't personally think of an evolutionary path from X to Y, so he confidently states that none can exist. Of course biologists have completely destroyed his arguments, showing that these supposed irreducible mechanisms in fact did evolve.
But, if you want to do more than read my rant, look into his
transcendental logic, where he claims to bridge the gap from pure idealism to the real world.
Yet, we have ample proof of his failures. For "fun", go read some Kantians argue about what Kant means by his various arguments. They are essentially impenetrable by people that devote their lives to their study. We can conclude, perhaps, that Kant is nearly infinitely brilliant, and worth decades of study, or, we can look to his false conclusions and apparently broken logic and conclude that it's not brilliant, just broken. Perhaps its clear I fall into the latter camp.
I suggest reading his great nemesis, Hume. Hume is lucid. Hume makes compelling arguments. In a sense, we can say all of modern science rests of Hume's shoulders. That's not to say I consider him necessary today. If you want to read about the modern scientific method there are plenty of modern writers - Sagan, Dawkins, et. al. But he was the prototypical skeptic - arguing that such things as miracles are extremely unlikely given the much simpler explanations, such as people lie, people don't investigate whether a story told to them is true, people don't search for alternative explanations, and that the stories come largely from superstitious cultures. He is a joy to read, and the assaults against his arguments from people like Kant have come to nothing. I type on this computer thanks to Hume's arguments. My friends and relatives live, having been saved by medical science built on Hume's bedrock. We flew to the moon, built nuclear power plants, particle accelerators, lasers, automobiles, because we think how Hume thinks.
Or, you can read 1500+ pages of opaque prose written by somebody just making things up about the universe. Your choice
