Stealing Jaynes
Ability to stand alone (a la Grothendieck)
Mind Projection Fallacy
Maintain a careful distinction between ontology and epistemology
Lots of confusing theories are confusing because they mix these together in the same theory
In QM, Bohr is always talking on the epistemological level, and Einstein is always talking on the ontological level
Any probabilities are subjective probabilities
Don’t make any unjustified assumptions: maximum entropy
Meta-knowledge is different from knowledge, but can be utilized to improve direct knowledge
Ap probabilities
Subjective H theorem
Infinities are meaningless until you’ve specified the exact limiting process
If the same phenomena seems to arise in two different ways, try to find a single concept encompassing both ways
Failures of a theory are hints of an unknown or unaccounted for principle
On effective understanding
Learning a sound process is more effective than learning lots of facts
Students should be taught a few examples deeply done in the correct way, instead of lots of examples hand-waved through
There’s often much to be learned from the writings of those who saw far beyond their contemporaries
Common examples
Jeffreys
Gibbs
Laplace
Conceptual confusion impedes further progress
Don’t let rigor get in the way of understanding
Toolkit
Lagrangian multipliers
should be paired with technique described in https://bayes.wustl.edu/etj/science.and.engineering/lect.10.pdf
Bayes’ theorem
Maximum Entropy
Stealing Jaynes
Ability to stand alone (a la Grothendieck)
Mind Projection Fallacy
Maintain a careful distinction between ontology and epistemology
Lots of confusing theories are confusing because they mix these together in the same theory
In QM, Bohr is always talking on the epistemological level, and Einstein is always talking on the ontological level
Any probabilities are subjective probabilities
Don’t make any unjustified assumptions: maximum entropy
Meta-knowledge is different from knowledge, but can be utilized to improve direct knowledge
Ap probabilities
Subjective H theorem
Infinities are meaningless until you’ve specified the exact limiting process
If the same phenomena seems to arise in two different ways, try to find a single concept encompassing both ways
Failures of a theory are hints of an unknown or unaccounted for principle
On effective understanding
Learning a sound process is more effective than learning lots of facts
Students should be taught a few examples deeply done in the correct way, instead of lots of examples hand-waved through
There’s often much to be learned from the writings of those who saw far beyond their contemporaries
Common examples
Jeffreys
Gibbs
Laplace
Conceptual confusion impedes further progress
Don’t let rigor get in the way of understanding
Toolkit
Lagrangian multipliers
should be paired with technique described in https://bayes.wustl.edu/etj/science.and.engineering/lect.10.pdf
Bayes’ theorem
Maximum Entropy