With Friedrich Nietzsche, philosophy was dangerous not only for philosophers but for everyone. His ideas presaged a collective madness that had horrific consequences in Europe in the early 1900s. Though his philosophy is more one of aphorisms than a system, it is brilliant, persuasive, and incisive. His major concept is the will to power, which he saw as the basic impulse for all our acts. Christianity he saw as a subtle perversion of this concept, thus Nietzsche's famous pronouncement, "God is dead."

Immanuel Kant taught and wrote prolifically about physical geography yet never traveled further than forty miles from his home in Kvnigsberg. How appropriate it is then that in his philosophy he should deny that all knowledge was derived from experience. He insisted that all experience must conform to knowledge. According to Kant, space and time are subjective; along with various "categories," they help us to see the phenomena of the world, though never its true reality.

Kierkegaard wasn't really a philosopher in the academic sense. Yet he produced what many people expect of philosophy. His subject was the individual and his or her existence, the "existing being." In Kierkegaard's view, this purely subjective entity lay beyond the reach of reason, logic, philosophical systems, theology, or even "the pretenses of psychology." Nonetheless, it was the source of all these subjects. The branch of philosophy to which Kierkegaard gave birth has come to be known as existentialism.

In an age when philosophers had scarcely glimpsed the horizons of the mind, a boy named Aristocles decided to forgo his ambitions as a wrestler. Adopting the nickname Plato, he embarked instead on a life in philosophy. In 387 B.C. he founded the Academy, the world's first university, and taught his students that all we see is not reality but merely a reproduction of the true source. And in his famous Republic he described the politics of "the highest form of state."

What is life? What is my place in it? What choices do these questions obligate me to make? More than a half-century after it burst upon the intellectual scene - with roots that extend to the mid-19th century - Existentialism's quest to answer these most fundamental questions of individual responsibility, morality, and personal freedom, life has continued to exert a profound attraction.

One of the two major philosophical traditions of the twentieth century was linguistic analysis, derived largely from Wittgenstein. The other, diametrically opposed, came from Heidegger, and its fundamental question was, "What is the meaning of existence?" For Heidegger, this question could not simply be "analyzed away". It was beyond the reach of logic or reason. It was the primary "given" of every individual life. To confront it, Heidegger needed to develop an entire new form of philosophy.

In Rousseau we encounter a walking ego, naked sensibility. Feeling triumphs over intellectual argument in his works, which are both deeply stirring and deeply inconsistent. Yet while his contemporaries Kant and Hume may have been superior academic philosophers, the sheer power of Rousseau's ideas was unequaled in his time. It was he who encouraged the introduction of both liberty and irrationality into the public domain.

Just a century after it had begun, philosophy entered its greatest age with the appearance of Socrates, who spent so much of his time talking about philosophy on the streets of Athens that he never got around to writing anything down. His method of aggressive questioning, called dialectic, was the forerunner of logic; he used it to cut through the twaddle of his adversaries and arrive at the truth. Rather than questioning the world, he believed, we would be better off questioning ourselves.

During his lifetime, Jean-Paul Sartre enjoyed unprecedented popularity for a philosopher, due partly to his role as a spokesman for existentialism at the opportune moment, when this set of ideas filled the spiritual gap left amidst the ruins of World War II. Existentialism was a philosophy of action and showed the ultimate freedom of the individual. In Sartre's hands, it became a revolt against European bourgeois values.

Spinoza's brilliant metaphysical system was derived neither from reality nor experience. Starting from basic assumptions, with a series of geometric proofs he built a universe which was also God, one and the same thing, the classic example of pantheism. Although his system seems an oddity today, Spinoza's conclusions are deeply in accord with modern thought, from science (the holistic ethics of today's ecologists) to politics (the idea that the state exists to protect the individual).

"If we accept Wittgenstein's word for it," Paul Strathern writes, "he is the last philosopher. In his view, philosophy in the traditional sense was finished."

With Friedrich Nietzsche, philosophy was dangerous not only for philosophers but for everyone. His ideas presaged a collective madness that had horrific consequences in Europe in the early 1900s. Though his philosophy is more one of aphorisms than a system, it is brilliant, persuasive, and incisive. His major concept is the will to power, which he saw as the basic impulse for all our acts. Christianity he saw as a subtle perversion of this concept, thus Nietzsche's famous pronouncement, "God is dead."

Schopenhauer, the "philosopher of pessimism", makes it very plain that he regards the world and our life in it as a bad joke. But if the world is indifferent to our fate, it doesn't thwart us on purpose. The world's facade is supported by what Schopenhauer calls the Universal Will, blind and without purpose. This Will brings on all our misery and suffering; our only hope is to liberate ourselves from its power and from the trappings of individualism and egoism that are at its mercy.

In an age when philosophers had scarcely glimpsed the horizons of the mind, a boy named Aristocles decided to forgo his ambitions as a wrestler. Adopting the nickname Plato, he embarked instead on a life in philosophy. In 387 B.C. he founded the Academy, the world's first university, and taught his students that all we see is not reality but merely a reproduction of the true source. And in his famous Republic he described the politics of "the highest form of state."

In Rousseau we encounter a walking ego, naked sensibility. Feeling triumphs over intellectual argument in his works, which are both deeply stirring and deeply inconsistent. Yet while his contemporaries Kant and Hume may have been superior academic philosophers, the sheer power of Rousseau's ideas was unequaled in his time. It was he who encouraged the introduction of both liberty and irrationality into the public domain.

Spinoza's brilliant metaphysical system was derived neither from reality nor experience. Starting from basic assumptions, with a series of geometric proofs he built a universe which was also God, one and the same thing, the classic example of pantheism. Although his system seems an oddity today, Spinoza's conclusions are deeply in accord with modern thought, from science (the holistic ethics of today's ecologists) to politics (the idea that the state exists to protect the individual).

Aristotle wrote on everything from the shape of seashells to sterility, from speculations on the nature of the soul to meteorology, poetry, art, and even the interpretation of dreams. Apart from mathematics, he transformed every field of knowledge that he touched. Above all, Aristotle is credited with the founding of logic. When he first divided human knowledge into separate categories, he enabled our understanding of the world to develop in a systematic fashion.

David Hume reduced philosophy to ruins: he denied the existence of everything, except our actual perceptions themselves. I alone exist, he argued, and the world is nothing more than part of my consciousness. Yet we know that the world remains, and we go on as before. What Hume expressed was the status of our knowledge about the world, a world in which neither religion nor science is certain.

Just a century after it had begun, philosophy entered its greatest age with the appearance of Socrates, who spent so much of his time talking about philosophy on the streets of Athens that he never got around to writing anything down. His method of aggressive questioning, called dialectic, was the forerunner of logic; he used it to cut through the twaddle of his adversaries and arrive at the truth. Rather than questioning the world, he believed, we would be better off questioning ourselves.

A handsome recluse, plagued by indecision and hypochondria, Franz Kafka nonetheless exhibited an extraordinary strength. He developed the uncanny ability to observe himself with cool objectivity, and he cultivated this ability in his writing, where it appeared in increasingly original metaphorical form. His works became among the greatest of the twentieth century, and his influence permeated far and wide, transcending literature.