Trying to understand the brain's abilities leads to philosophical difliculties. Penrose (1994) argues that the task is sterile and that science, including neural networks, has not yet advanced to the stage where it can explain conscious thought. At the other extreme there are philosophers such as Fodor (1975) who believed that thought has language-like properties and can be analysed in the same logical way as one can anlayse the structure of language.
Igor AleksanderRelated topics
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If the Christian religion, as I understand it, or as you understand it, should maintain its ground, as I believe it will, yet Platonic, Pythagoric, Hindoo, and cabalistical Christianity, which is Catholic Christianity, and which has prevailed for 1500 years, has received a mortal wound, of which the monster must finally die. Yet so strong is his constitution, that he may endure for centuries before he expires.
John Adams
The art of music is good, for the reason, among others, that it produces pleasure; but what proof is it possible to give that pleasure is good? If, then, it is asserted that there is a comprehensive formula, including all things which are in themselves good, and that whatever else is good, is not so as an end, but as a mean, the formula may be accepted or rejected, but is not a subject of what is commonly understood by proof.
John Stuart Mill
Philosophy is written in this grand book, which stands continually open before our eyes (I say the 'Universe'), but can not be understood without first learning to comprehend the language and know the characters as it is written. It is written in mathematical language, and its characters are triangles, circles and other geometric figures, without which it is impossible to humanly understand a word; without these one is wandering in a dark labyrinth.
Galileo Galilei
A good deal of my research in physics has consisted in not setting out to solve some particular problem, but simply examining mathematical equations of a kind that physicists use and trying to fit them together in an interesting way, regardless of any application that the work may have. It is simply a search for pretty mathematics. It may turn out later to have an application. Then one has good luck. At age 78.
Paul Dirac
Now, if the principle of toleration were once admitted into classical education --if it were admitted that the great object is to read and enjoy a language, and the stress of the teaching were placed on the few things absolutely essential to this result, if the tortoise were allowed time to creep, and the bird permitted to fly, and the fish to swim, towards the enchanted and divine sources of Helicon --all might in their own way arrive there, and rejoice in its flowers, its beauty, and its coolness.
Harriet Beecher Stowe