Feedback:
Axes leading to swords seems weird. The predecessor to swords would have been daggers. Maybe even simple crafting tools like adzes if you want to keep the early stone age theme firmly to the left of the framework.
A better precursor to the mace would be the hammer.
Arguably, a personal ranged weapon could constitute a thematic predecessor to ranged siege weapons. Such that siege weapons would have multiple prerequisites. Also, not sure why you say generic archery before moving into the representative weapons. You did not do this with spears, axes, etc. Also, the long bow came before the short bow. The longbow was Upper Paleolithic. The short bow (i.e., recurve or composite bow more appropriately) was not until the second millennium BC.
I do not understand why anarchy and tribalism are separated out from other forms of government. Beyond which, I do not see that writing is a prerequisite for government. Only advanced forms of government. You can also get into semantic arguments about writing. For example, the Incans were quite complex, yet did not have a formal writing system. Rather, the Incas had a notational record keeping system, essentially numeric. Folks still argue whether these quipus could have been used to store more than numeric values. The same sort of argument applies to things like Linear B. Moderately advanced government only seems to need some record keeping system (e.g., calendars, taxes, duties, revenue, etc.), rather than full on writing (e.g., laws, mandates, regulations, treaties, etc.).
I think sailing should have different prerequisites. It is less about mathematics, and more about optics, navigation, etc. These, to an extent, depend on mathematics (e.g., dead reckoning), but are their own area of discovery I would think.
Chivalry should have more prerequisites. It is an honor system that is deeply cultural and tied up in the system of government. Think a feudal society with some concept of noblesse oblige.