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Questions I am concerned about
1. For which I have tenative answers:
A. Physics:
a. How should one non-circularly define the following terms in Classical Physics: inertial frame, force-free volume, good clock, good rod, inertial mass active gravitational mass, passive gravitational mass, active electric charge, passive electic charge?
b. What are the conditions in which the foundational equations of a theory are formally continuous? (Simple examples with surprising results in projectile motion in uniform g feld, and in relativistic doppler effect for sub-lightspeed waves.)
B. Philosophy:
How should one formally define the process of changing one's belief system based upon new evidence statements, especially when certain beliefs (fundamental physical theories) have zero prior probabilities?
C. Finance
a. How should one decompose the excess return of a portfolio over its benchmark so that compounding works exactly, the results are additive, the results are not a-causal, the components have clear economic meaning?
b. How should one uniformly define the basis, for a return, of bets so as to always avoid a zero or negative basis?
1. For which I do not have tenative answers:
A. Physics
a. How should one formally define and informally understand the concept of a thought experiment?
How about: "A description of a physical situation that could in principle occur, for which a physical theory provides predictions"? --Seb
b. How should one interpret the relationship of events to the existence of ontological probability in foundamental physical theory?
B. Philosophy
a. What is the correct attitude to take toward Goodman's paradox?
b. What is the correct attitude to take toward the relationship of mind (consciousness) and body?
C. Finance
To what extent is induction applicable to a field affected by self-awareness and events without a probability metric? (Future returns based upon past results.)
wikipedia.org dumped 2003-03-17 with terodump