Lite mode. Switch to Full
invert_colors
logout
/sci/
/sci/
Post a Replyarrow_backarrow_downward
TexasΛ calculusBernd2025-09-29 07:53:56 · 9mnNo. 349288reply
Funny how life imitates mathematics. Welcome to the thread of pure mathematical autism.
Texas+++Bernd2025-10-09 03:02:46 · 9mnNo. 349949reply
Check my work for +++ see if I did the steps right, I am new to this type of logic
 
Plus = λmnfx.((mf)((nf)x)))
λmnfx.((mf)((nf)x)))+)+)
λnfx.((+f)((nf)x)))+)
λfx.((+f)((+f)x)))
I think I found a function, so I will stick a variable
(λfx.((+f)((+f)x)))a)
(λx.((+a)((+a)x)))
(λx.((+a)((+a)x)))b)
(λ.((+a)((+a)b)))
((+a)((+a)b)))
And if I'm not mistaken this turns out to be:
(a+(a+b))
Plugging numbers (I pick 2 and 3) in this function just to see what it will gib
(2+(2+3))
(2+5)
7
 
Here is some links that relate to this thread:
 
Reding
>https://www.macs.hw.ac.uk/~greg/books/gjm.lambook88.pdf
 
>https://arxiv.org/pdf/2411.11809
 
>https://arxiv.org/pdf/1503.09060
 
>https://lambdaway.fr/workshop/?view=oops6
 
>https://plato.stanford.edu/archives/win2012/entries/lambda-calculus/
 
code
>https://mindsarentmagic.org/
 
>https://justine.lol/lambda/
 
>https://learnxinyminutes.com/lambda-calculus/
 
>https://crypto.stanford.edu/~blynn/lambda/
TexasBernd2025-10-09 03:05:02 · 9mnNo. 349950reply
I also did some "fake λ cal" to practice my β-reduction
(λx.x^2·x!·2^x+x)5
λ5.5^2·5!·2^5+5
λ5.5^2·5!·32+5
λ5.25·5!·32+5
λ5.25·120·32+5
λ5.25·120·32+5
λ5.96,000+5
λ5.96,005
96,005
TexasBernd2025-10-09 12:35:04 · 9mnNo. 349957reply
My next mission is - - - but that’s a little harder because it uses the predecessor function.
FinlandBernd2025-10-09 13:28:43 · 9mnNo. 349958reply
I support intuitionist mafmadics
t. Nicolas Gisin respecter
NetherlandsBernd2025-10-09 14:08:25 · 9mnNo. 349962reply
United StatesBernd2025-10-09 15:30:02 · 9mnNo. 349974reply
I love the quantum realm more than I love biology, and that's something, seeing how things work on a very fundamental scale in satisfying to me. It's also at the ends of imagination but just enough to let me draw chemiballs and vector fields.
 
I'm just doing lambda calculus because I wanted to see what dumb things I can make. - - - will probably be the last thing I β-reduce before I leave this thread to go back to quantum.
TexasBernd2025-10-26 15:09:12 · 8mnNo. 350528reply
It’s almost been 20 days and I still can’t get a complete answer.
TexasBernd2025-11-16 14:19:23 · 7mnNo. 351039reply
Subtraction is too difficult of a concept for me so I will stop, I’m still reading my book tho.
TexasBernd2025-11-21 06:22:28 · 7mnNo. 351137reply
It’s like 12:00am and I thought of something no one else has apparently. Finding a kronecker product is pretty easy, I could find the product of two γ matrixes. However what if we add a layer of complexity and preform this function only in lambda calculus.
 
find the kronecker products of any two γ matrixes, only using lambda calculus
 
If matrix manipulation is possible, and you can compute any possible function into a lambda expression, than there must be an algorithm to make a kronecker product function in lambda calculus.
 
Note that this cannot be done in Python because kronecker products are not anonymous functions.
 
https://crypto.stanford.edu/~blynn/lambda/matrix.html
TexasBernd2025-11-21 06:25:09 · 7mnNo. 351139reply
Well well well…
https://arxiv.org/pdf/quant-ph/0307150
 
https://arxiv.org/pdf/1705.00097
 
https://www.mathstat.dal.ca/~selinger/papers/qlambdabook.pdf
SwedenBernd2025-11-30 21:43:29 · 7mnNo. 351445reply
Sheldon B. Cooper
TexasBernd2025-12-05 23:10:07 · 7mnNo. 351674reply
I’ve never seen that show in my life.
/sci/Post a Replyarrow_backarrow_upward