Re: HoTT: The programing language of space

[Bruno Marchal]

> On 3 Mar 2019, at 14:42, Philip Thrift  wrote:
> 
> 
> 
> On Sunday, March 3, 2019 at 6:32:50 AM UTC-6, Bruno Marchal wrote:
> 
>> On 1 Mar 2019, at 22:57, Philip Thrift > 
>> wrote:
>> 
>> 
>> 
>> On Friday, March 1, 2019 at 3:19:21 PM UTC-6, Philip Thrift wrote:
>> 
>> 
>> On Friday, March 1, 2019 at 3:09:23 PM UTC-6, Lawrence Crowell wrote:
>> The question is whether HoTT is also the language of entanglement.
>> 
>> LC
>> 
>>  
>> 
>> All "entanglement" is is a path integral [ 
>> https://ncatlab.org/nlab/show/path+integral 
>>  ] so it should.
>> 
>> 
>> - pt
>> 
>> 
>> Also entanglement can be defined by the σCP (Stochastic Concurrent Prolog) 
>> language.
> 
> But that is not the quantum entanglement, or you could program Prolog to get 
> faster than light apparent action, which I doubt. You can get them with 
> prolog, but only for the internal creature that you would emulate.
> 
> Bruno
> 
> 
>  σCP is a programming language.
> 
>
> https://codicalist.wordpress.com/2018/04/08/cp-stochastic-concurrent-prolog/
> 
> But σCP programs could be compiled to run on the appropriate hardware 
> substrate - a quantum or Wheeler-Feynman computer - whenever this kind of 
> computer is made available to compile programs to.

All universal programs can emulate all universal programs, and all are “run 
already” in arithmetic. The hardware is still not equivalent to any possible 
software, as it results from the global probability structure on all 
computations, filtered through the differentiation of the first person 
consciousness related to the computations (assuming Mechanism).

Bruno



> 
> - pt
> 
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Re: HoTT: The programing language of space

[Philip Thrift]

On Sunday, March 3, 2019 at 6:32:50 AM UTC-6, Bruno Marchal wrote:
>
>
> On 1 Mar 2019, at 22:57, Philip Thrift > 
> wrote:
>
>
>
> On Friday, March 1, 2019 at 3:19:21 PM UTC-6, Philip Thrift wrote:
>>
>>
>>
>> On Friday, March 1, 2019 at 3:09:23 PM UTC-6, Lawrence Crowell wrote:
>>>
>>> The question is whether HoTT is also the language of entanglement.
>>>
>>> LC
>>>
>>
>>  
>>
>> All "entanglement" is is a path integral [ 
>> https://ncatlab.org/nlab/show/path+integral ] so it should.
>>
>>
>> - pt
>>
>
>
> Also entanglement can be defined by the σCP (Stochastic Concurrent Prolog) 
> language.
>
>
> But that is not the quantum entanglement, or you could program Prolog to 
> get faster than light apparent action, which I doubt. You can get them with 
> prolog, but only for the internal creature that you would emulate.
>
> Bruno
>
>
 σCP is a programming language.

  
 https://codicalist.wordpress.com/2018/04/08/cp-stochastic-concurrent-prolog/

But σCP programs could be compiled to run on the appropriate hardware 
substrate - a quantum or Wheeler-Feynman computer - whenever this kind of 
computer is made available to compile programs to.

- pt

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Re: HoTT: The programing language of space

[Bruno Marchal]

> On 1 Mar 2019, at 22:57, Philip Thrift  wrote:
> 
> 
> 
> On Friday, March 1, 2019 at 3:19:21 PM UTC-6, Philip Thrift wrote:
> 
> 
> On Friday, March 1, 2019 at 3:09:23 PM UTC-6, Lawrence Crowell wrote:
> The question is whether HoTT is also the language of entanglement.
> 
> LC
> 
>  
> 
> All "entanglement" is is a path integral [ 
> https://ncatlab.org/nlab/show/path+integral 
>  ] so it should.
> 
> 
> - pt
> 
> 
> Also entanglement can be defined by the σCP (Stochastic Concurrent Prolog) 
> language.

But that is not the quantum entanglement, or you could program Prolog to get 
faster than light apparent action, which I doubt. You can get them with prolog, 
but only for the internal creature that you would emulate.

Bruno


> 
> - pt
>  
> 
> 
> 
> On Thursday, February 21, 2019 at 3:15:34 AM UTC-6, Philip Thrift wrote:
> 
> HoTT (Homotopy Type Theory) is re-expressed here as a programming language to 
> encode mathematics.
> 
> 
> [ 
> https://www.researchgate.net/publication/326645835_HoTT_The_Language_of_Space 
> 
>  ] 
> 
> [ https://github.com/groupoid/cafe ) 
> github.com/groupoid/cafe  ]
> 
> 
> Abstract
> Homotopy Type Theory (HoTT) is the most advanced programming language in the 
> domain of intersection of several theories: algebraic topology, homological 
> algebra, higher category theory, mathematical logic, and theoretical computer 
> science. That is why it can be considered as a language of space, as it can 
> encode any existent mathematics.
> 
> Speaker: Maxim Sokhatsky is an author of Privat24 deposits, 20 years of 
> working experience as a programmer, one of the 30 top-commiters in Ukraine in 
> Open Source, author of N2O, the best Erlang Web Framework, CEO of Synrc 
> Research Center, author of several embedded operating system runtimes and 
> production programming languages. Maxim is familiar with any programming 
> language on the planet and had seen sources of all operating systems.
> 
> Now Maxim is doing his Ph.D. research (the second year of education) in HoTT, 
> trying to encode as much mathematics in the programming language as possible 
> along the way.
> 
> During this lecture, Maxim will try to smoothly guide you from the 
> programming perspective to the pure space of mathematics and will show the 
> evolution of mathematical provers from AUTOMATH to the family of Cubical Type 
> Checkers. Also, this lecture is considered as a general introduction to HoTT 
> course Maxim is preparing for his friends.
> 
> cf. [ http://groupoid.space ) groupoid.space ]
> 
> - pt
> 
> 
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Re: HoTT: The programing language of space

[Lawrence Crowell]

On Friday, March 1, 2019 at 3:19:21 PM UTC-6, Philip Thrift wrote:
>
>
>
> On Friday, March 1, 2019 at 3:09:23 PM UTC-6, Lawrence Crowell wrote:
>>
>> The question is whether HoTT is also the language of entanglement.
>>
>> LC
>>
>
>  
>
> All "entanglement" is is a path integral [ 
> https://ncatlab.org/nlab/show/path+integral ] so it should.
>
>
> - pt
>

I think if there is a connection here it is with the Polyakov path 
integral, which quotients out diffeomorphisms of the group symmetry.

LC
 

>
>
>>
>> On Thursday, February 21, 2019 at 3:15:34 AM UTC-6, Philip Thrift wrote:
>>>
>>>
>>> HoTT (Homotopy Type Theory) is re-expressed here as a programming 
>>> language to encode mathematics.
>>>
>>>
>>> [ 
>>> https://www.researchgate.net/publication/326645835_HoTT_The_Language_of_Space
>>>  
>>> ] 
>>>
>>> [ https://github.com/groupoid/cafe) github.com/groupoid/cafe ]
>>>
>>>
>>> Abstract
>>> Homotopy Type Theory (HoTT) is the most advanced programming language in 
>>> the domain of intersection of several theories: algebraic topology, 
>>> homological algebra, higher category theory, mathematical logic, and 
>>> theoretical computer science. That is why it can be considered as a 
>>> language of space, as it can encode any existent mathematics.
>>>
>>> Speaker: Maxim Sokhatsky is an author of Privat24 deposits, 20 years of 
>>> working experience as a programmer, one of the 30 top-commiters in Ukraine 
>>> in Open Source, author of N2O, the best Erlang Web Framework, CEO of Synrc 
>>> Research Center, author of several embedded operating system runtimes and 
>>> production programming languages. Maxim is familiar with any programming 
>>> language on the planet and had seen sources of all operating systems.
>>>
>>> Now Maxim is doing his Ph.D. research (the second year of education) in 
>>> HoTT, trying to encode as much mathematics in the programming language as 
>>> possible along the way.
>>>
>>> During this lecture, Maxim will try to smoothly guide you from the 
>>> programming perspective to the pure space of mathematics and will show the 
>>> evolution of mathematical provers from AUTOMATH to the family of Cubical 
>>> Type Checkers. Also, this lecture is considered as a general introduction 
>>> to HoTT course Maxim is preparing for his friends.
>>>
>>> cf. [ http://groupoid.space) groupoid.space ]
>>>
>>> - pt
>>>
>>>

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Re: HoTT: The programing language of space

[Philip Thrift]

On Friday, March 1, 2019 at 3:19:21 PM UTC-6, Philip Thrift wrote:
>
>
>
> On Friday, March 1, 2019 at 3:09:23 PM UTC-6, Lawrence Crowell wrote:
>>
>> The question is whether HoTT is also the language of entanglement.
>>
>> LC
>>
>
>  
>
> All "entanglement" is is a path integral [ 
> https://ncatlab.org/nlab/show/path+integral ] so it should.
>
>
> - pt
>


Also entanglement can be defined by the σCP (Stochastic Concurrent Prolog) 
language.

- pt
 

>
>
>>
>> On Thursday, February 21, 2019 at 3:15:34 AM UTC-6, Philip Thrift wrote:
>>>
>>>
>>> HoTT (Homotopy Type Theory) is re-expressed here as a programming 
>>> language to encode mathematics.
>>>
>>>
>>> [ 
>>> https://www.researchgate.net/publication/326645835_HoTT_The_Language_of_Space
>>>  
>>> ] 
>>>
>>> [ https://github.com/groupoid/cafe) github.com/groupoid/cafe ]
>>>
>>>
>>> Abstract
>>> Homotopy Type Theory (HoTT) is the most advanced programming language in 
>>> the domain of intersection of several theories: algebraic topology, 
>>> homological algebra, higher category theory, mathematical logic, and 
>>> theoretical computer science. That is why it can be considered as a 
>>> language of space, as it can encode any existent mathematics.
>>>
>>> Speaker: Maxim Sokhatsky is an author of Privat24 deposits, 20 years of 
>>> working experience as a programmer, one of the 30 top-commiters in Ukraine 
>>> in Open Source, author of N2O, the best Erlang Web Framework, CEO of Synrc 
>>> Research Center, author of several embedded operating system runtimes and 
>>> production programming languages. Maxim is familiar with any programming 
>>> language on the planet and had seen sources of all operating systems.
>>>
>>> Now Maxim is doing his Ph.D. research (the second year of education) in 
>>> HoTT, trying to encode as much mathematics in the programming language as 
>>> possible along the way.
>>>
>>> During this lecture, Maxim will try to smoothly guide you from the 
>>> programming perspective to the pure space of mathematics and will show the 
>>> evolution of mathematical provers from AUTOMATH to the family of Cubical 
>>> Type Checkers. Also, this lecture is considered as a general introduction 
>>> to HoTT course Maxim is preparing for his friends.
>>>
>>> cf. [ http://groupoid.space) groupoid.space ]
>>>
>>> - pt
>>>
>>>

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Re: HoTT: The programing language of space

[Philip Thrift]

On Friday, March 1, 2019 at 3:09:23 PM UTC-6, Lawrence Crowell wrote:
>
> The question is whether HoTT is also the language of entanglement.
>
> LC
>

 

All "entanglement" is is a path integral 
[ https://ncatlab.org/nlab/show/path+integral ] so it should.


- pt


>
> On Thursday, February 21, 2019 at 3:15:34 AM UTC-6, Philip Thrift wrote:
>>
>>
>> HoTT (Homotopy Type Theory) is re-expressed here as a programming 
>> language to encode mathematics.
>>
>>
>> [ 
>> https://www.researchgate.net/publication/326645835_HoTT_The_Language_of_Space
>>  
>> ] 
>>
>> [ https://github.com/groupoid/cafe) github.com/groupoid/cafe ]
>>
>>
>> Abstract
>> Homotopy Type Theory (HoTT) is the most advanced programming language in 
>> the domain of intersection of several theories: algebraic topology, 
>> homological algebra, higher category theory, mathematical logic, and 
>> theoretical computer science. That is why it can be considered as a 
>> language of space, as it can encode any existent mathematics.
>>
>> Speaker: Maxim Sokhatsky is an author of Privat24 deposits, 20 years of 
>> working experience as a programmer, one of the 30 top-commiters in Ukraine 
>> in Open Source, author of N2O, the best Erlang Web Framework, CEO of Synrc 
>> Research Center, author of several embedded operating system runtimes and 
>> production programming languages. Maxim is familiar with any programming 
>> language on the planet and had seen sources of all operating systems.
>>
>> Now Maxim is doing his Ph.D. research (the second year of education) in 
>> HoTT, trying to encode as much mathematics in the programming language as 
>> possible along the way.
>>
>> During this lecture, Maxim will try to smoothly guide you from the 
>> programming perspective to the pure space of mathematics and will show the 
>> evolution of mathematical provers from AUTOMATH to the family of Cubical 
>> Type Checkers. Also, this lecture is considered as a general introduction 
>> to HoTT course Maxim is preparing for his friends.
>>
>> cf. [ http://groupoid.space) groupoid.space ]
>>
>> - pt
>>
>>

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Re: HoTT: The programing language of space

[Lawrence Crowell]

The question is whether HoTT is also the language of entanglement.

LC

On Thursday, February 21, 2019 at 3:15:34 AM UTC-6, Philip Thrift wrote:
>
>
> HoTT (Homotopy Type Theory) is re-expressed here as a programming language 
> to encode mathematics.
>
>
> [ 
> https://www.researchgate.net/publication/326645835_HoTT_The_Language_of_Space 
> ] 
>
> [ https://github.com/groupoid/cafe) github.com/groupoid/cafe ]
>
>
> Abstract
> Homotopy Type Theory (HoTT) is the most advanced programming language in 
> the domain of intersection of several theories: algebraic topology, 
> homological algebra, higher category theory, mathematical logic, and 
> theoretical computer science. That is why it can be considered as a 
> language of space, as it can encode any existent mathematics.
>
> Speaker: Maxim Sokhatsky is an author of Privat24 deposits, 20 years of 
> working experience as a programmer, one of the 30 top-commiters in Ukraine 
> in Open Source, author of N2O, the best Erlang Web Framework, CEO of Synrc 
> Research Center, author of several embedded operating system runtimes and 
> production programming languages. Maxim is familiar with any programming 
> language on the planet and had seen sources of all operating systems.
>
> Now Maxim is doing his Ph.D. research (the second year of education) in 
> HoTT, trying to encode as much mathematics in the programming language as 
> possible along the way.
>
> During this lecture, Maxim will try to smoothly guide you from the 
> programming perspective to the pure space of mathematics and will show the 
> evolution of mathematical provers from AUTOMATH to the family of Cubical 
> Type Checkers. Also, this lecture is considered as a general introduction 
> to HoTT course Maxim is preparing for his friends.
>
> cf. [ http://groupoid.space) groupoid.space ]
>
> - pt
>
>

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HoTT: The programing language of space

[Philip Thrift]

HoTT (Homotopy Type Theory) is re-expressed here as a programming language 
to encode mathematics.


[ 
https://www.researchgate.net/publication/326645835_HoTT_The_Language_of_Space 
] 

[ https://github.com/groupoid/cafe) github.com/groupoid/cafe ]


Abstract
Homotopy Type Theory (HoTT) is the most advanced programming language in 
the domain of intersection of several theories: algebraic topology, 
homological algebra, higher category theory, mathematical logic, and 
theoretical computer science. That is why it can be considered as a 
language of space, as it can encode any existent mathematics.

Speaker: Maxim Sokhatsky is an author of Privat24 deposits, 20 years of 
working experience as a programmer, one of the 30 top-commiters in Ukraine 
in Open Source, author of N2O, the best Erlang Web Framework, CEO of Synrc 
Research Center, author of several embedded operating system runtimes and 
production programming languages. Maxim is familiar with any programming 
language on the planet and had seen sources of all operating systems.

Now Maxim is doing his Ph.D. research (the second year of education) in 
HoTT, trying to encode as much mathematics in the programming language as 
possible along the way.

During this lecture, Maxim will try to smoothly guide you from the 
programming perspective to the pure space of mathematics and will show the 
evolution of mathematical provers from AUTOMATH to the family of Cubical 
Type Checkers. Also, this lecture is considered as a general introduction 
to HoTT course Maxim is preparing for his friends.

cf. [ http://groupoid.space) groupoid.space ]

- pt

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