The period (roughly) from 600BC-400BC is often referred to as the Axial Age. New strains of thought during this time frame include:
China
Lao-tze (I Ching)
Kung Fu-tze (Analects)
Latter part of the "Hundred Schools of Thought" period.
Greek World
Greek Philosophy - Anaximander, Anaximenes, Thales,
Parmenides, Democritus, Socrates
History - Herodotus and Thucydides
India
Gautama Siddartha (Buddhism)
Mahavira (Reform of Jainism)
Upanishads (Commentaries on the Vedas)
Persia
Zoroaster
In this period, we see the foundation of two of the world's great religions(Taoism and Buddhism) and the re-interpretation of another (Hinduism); we have the founding of Zoroastrianism and the refounding of Jainism. In addition, we have the birth proto-scientific thought (e.g. Thales and Democritus), moral philosophy (Socrates and Kung Fu-tze), and history (Herodotus and Thucycides).
For such a short period of time, this is extraordinary.
I think that this is most likely due to an expansion of trade and aided by the spread of literacy.
The great ferment in human thought at this time must have been stimulated
by exposure to different ideas and people from abroad. We know that at the beginning of this period the greeks were founding colonies all around the Mediterranean. The Phocians, for example, founded both Massilia and Ampurias (in modern France and Spain, respectively) in about 600 BC. The Persian Empire was expanding throughout the period and by about 520 BC controlled the Eastern Mediterranean from Asia Minor to Egypt and extended east beyond the Indus. Persia thus provides a link between the Mediterranean trade network and India. I regret I'm unaware of a significant link between India and China at this time.
Trade spreads ideas as well as goods. If those ideas can be written down they travel better and with greater accuracy and precision. Of course for ideas to be written down requires an author and a literate readership. Fortunately, trade itself is a stimulus to literacy since it improves both record keeping and communication between markets.
I'll leave aside the question of why trade expanded to avoid infinite regress, but when conditions for extensive travel became favorable, trade seems to have been the first beneficiary. Political unification seems to have followed. It's interesting to note that shortly after the Axial Age ended, we see the very first unification of the entire eastern Mediterranean (Alexander ~320 BC), of India (Maurya ~325 BC), and of China (Qin ~220 BC).
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