# Modern Suppliers

- leverage software to lower barrier to entry
- provide tooling too difficult and resource intensive for in house work
- align incentives with customers; i.e. pay per use enabling scaling. api, saas, business in a box, etc... AWS is a huge deal in this space - with it companies have no need to worry about their own server infrastructures!

given the right business model, you grow directly alongside your consumer; i.e. twilio supports whatsapp substantially and considerably. stripe is probably the best example of this! all you have to do to accept payments is dispatch to strip : )

Aldo Leopold: "A Sand County Almanac"

spiritual dangers to not owning a farm:

- supposing that breakfast comes from the grocery
- supposing that heat comes from the furnace

you can build these in house, eventually!

becoming a good theoretical computer science:

- theoretical fields are so important to practical advancements
- math and physics are vital to pursuing any theoretical field

to become a good computer science researcher, study math. you will always have time to switch to the 'practical side of the force', but it's worth spending time to hone engineering

turing machines and the halting problem. the Entscheindunsproblem created the turing machine and the turing test -- determined that the mathematics are decidable, evaluating a definite procedure to show if a math statement is true or false

the question prompted an answer: the turing machine!

Mathematical Theory of communication set the foundation for telecommunications - but in and of itself is not! Shannon's information theory of entropy takes thermodynamic entropy and transforms it to impact communications

shannon theorem, shannon-hartley theorem

the class mip* of languages cna be decided by a verifier is equal to RE, recursively enumerable languages! read more, @adlarocha