Reason Can Provide Us with New Knowledge About the World. to What Extent Do You Agree with This Statement?

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drew pythagorus theorum in some sand and asked a uneducated slave boy questions about it to see if he understand it, having no understanding or prior-knolidge of pythagorus, and to an extent he could ansew the questions using his reasoning.

I dont think this is strong evidence to how reasoning gives us new knolidge about the world. Firstly because I believe the finding of certain mathematical truths such as right angles were just generalisations taken from the world. As for the slave boy understanding pythagorus theorum, would he have understood or known of it before he expierianced seeing it drawn on the floor, and although he understood that some of the lines were equal to others that were drawn at a different position in the picture, he could have known that by looking at simular life examples or seeing boxes inside of boxes in real life so it is not really scientific or conclusive realiable evidence.

So this dose not strengthen the claim that reason can provide us with new knolidge about the world, as empiricists could argue that most of the evidence put forward for knolidge worked out by reason is just knolidge that has already been gained from sense expieriance and just generalised, or summerised using reason and understanding and made to seem like new knolidge or to confirm facts to create certain knolidge about the world.

Overall, from the evidence from the rationalists arguements and cristisisms of that evidence I have come to the conclusion that although reason can help prove knolidge and acknolidge certaintys, it cannot provide new knolidge about the world as it in my oppinion only forms generalisations from posteriori knolidge already gathered through expieriance.