I'm not at all convinced that Hobbes had a good influence on Locke. Locke's philosophy is a reaction against Hobbes's and is, therefore, deeply entwined with it. But I can't help but think that Locke would have done better work had he never read Hobbes at all.
Hobbes began the long error of social contract theory which is an obvious fiction, but also an unnecessary fiction. Nobody ever lived in either a Hobbesian, Lockian, or Rousseauian "state of nature" without a government. Government predates man as a reasoning creature. The earliest government is absolute rule by the tribal elders. The theory is also unnecessary for Locke since he can reach most of his conclusions using the actual origins of republics, the handing down of constitutions voluntarily accepted by the people.
So I believe basically that Hobbes's entire philosophy was a sterile dead end. However, I can believe that and still believe, as Withywindle does, that he was a profound and brilliant man. I certainly don't agree with criticisms of him based on his belief that he had squared the circle. He thought he had succeeded at the age of 67 and argued about it until his death 24 years later at the age of 91. In the history of mathematics, people aged 67 and over have probably contributed virtually nothing useful, even if their other faculties remain sharp. It should be pointed out that while squaring the circle exactly is impossible, it is possible to come as arbitrarily close to exact as one likes - you just can't reach total precision. It is easy to see how people can fool themselves into thinking they've solved it even though they haven't. So what if Hobbes made some mathematical errors in his old age?
By the way, these errors were a result of his materialism. He was attempting to recast geometry into a materialist mold, removing the metaphysics of mathematics. His attempt was a noble and valiant one and should be respected. Materialist mathematics deserves a thorough attempt before one is forced to reject it. (Of course, there have been better attempts since Hobbes, though none fare any better, in my opinion.)
Materialism was precisely his flaw. FLG has long maintained that the important things are often ethereal and can't quantified. Love, to name just one.
A similar flaw occurs with the people who argue in favor of more math and science education. It's not great technology for great technology's sake that's important, but technology that's useful to people. That ameliorates or mitigates the human condition in some capacity. Those with math, science, and engineering educations too often are formed in a way that fundamentally misunderstands the human condition, which is why it takes somebody like Steve Jobs, a liberal arts drop-out, to make technology that works for people.
The focus on materialism and empiricism is one of the biggest flaws of the modern age, even if it has produced increased dominion over the material world. It's not that empiricism and materialism are wrong, but that the overemphasis has caused distortions and created unseen unassumptions.
Anyway, good comment by Andrew even if I'm rambling on about technology and other stuff that has nothing to do with it.

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I'm prepared to argue that materialism is simply wrong. (Yes, I'm nevertheless an atheist.) And it is mathematics and the failure of materialism to make sense of it that convinces me of this.
Bertrand Russell said, "Physics is mathematical not because we know so much about the physical world, but because we know so little; it is only its mathematical properties that we can discover." I'm not sure that I agree with the part after the semicolon, but I definitely agree with the part before it.
What do you mean by materialism is simply wrong? As a basis for politics? Morality?
AS you know, I have my own theory about the fundamental incomprehensibility of the universe because we are inherently limited by our need to interpret the world through the principle of cause and effect, and I could even buy into a similar theory regarding math.
But to say that materialism is wrong. Full stop. Seems a bit too much even for me.
I mean that the ontological doctrine that the only things that exist are material things is mistaken.
Then we are in complete agreement.
I thought we probably were.
Hobbes, on the other hand, was a rigid materialist. Because of this philosophy, Hobbes asserted that geometry was the true science of mathematics (based as it was on material objects) and algebra was just so much abstract hogwash. It was this rejection of algebra which caused him to be routed by Wallis.
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