* Re: [TYPES/announce] Tenure-Track Research and Teaching Positions at University of British Columbia, Vancouver, Canada
[not found] <8CD7DB5F-B95E-4FBA-B93E-0AAFB99ABDE9@cs.ubc.ca>
@ 2017-12-31 12:37 ` 1337777.OOO
2018-01-01 18:11 ` Devrim Ünal
0 siblings, 1 reply; 2+ messages in thread
From: 1337777.OOO @ 2017-12-31 12:37 UTC (permalink / raw)
To: Ronald Garcia, types-list, coq-club, categories
Proph
https://gitee.com/OOO1337777/cartier/blob/master/cartierSolution3.v
solves half of some question of Cartier which is how to program
grammatical polymorph metafunctors-full-subcategory
containing-equalizers generated by some views ( "complete" ) ...
The ends is to start from some generating/views data and then to add
equalizers of morphisms ; but where are those equalizers ? Oneself
could get them as metafunctors on this generating data, as long as
oneself grammatically distinguishes whatever-is-interesting .
In contrast from the earlier grammatical presentation of
pairing-projections (product), now the equalizer-objects do depend on
the morphisms . BUT THIS DEPENDENCE NEED-NOT BE GRAMMATICAL ! This
dependence could be expressed via the sense-decoding ( "Yoneda" ) of
the grammatical morphisms .
The grammatical objects/morphisms are simultaneously-mutually
presented with their sense-decoding ; this could be done via some
common inductive-recursive presentation or alternatively by inferring
the sense-decoding computation into extra indexes of the type-family
of the object/morphisms .
The conversion-relation shall convert across two morphisms whose
sense-decoding indexes are not syntactically/grammatically-the-same.
But oneself does show that, by logical-deduction, these two
sense-decoding are indeed propositionally equal ( "soundness lemma" )
.
Finally, some linear total/asymptotic grade is defined on the
morphisms and the tactics-automated degradation lemma shows that each
of the conversion indeed degrades the redex morphism .
For instant first impression , the conversion-relation constructor
which says that the inclusion/restriction (projection) morphisms
cancels the corestriction (pairing) morphism , is written as :
#+BEGIN_EXAMPLE
| Pairing_Project1 :
forall Yoneda00_L Yoneda01_L (L : @obCoMod Yoneda00_L Yoneda01_L)
Yoneda00_F Yoneda01_F (F : @obCoMod Yoneda00_F Yoneda01_F)
Yoneda00_G Yoneda01_G (G : @obCoMod Yoneda00_G Yoneda01_G),
forall Yoneda10_transfL (transfL : 'CoMod(0 F ~> G @ Yoneda10_transfL )0)
Yoneda10_transfR (transfR : 'CoMod(0 F ~> G @ Yoneda10_transfR )0),
forall Yoneda10_ff (ff : 'CoMod(0 L ~> F @ Yoneda10_ff )0),
forall (Yoneda10_ff_eq :
forall A : obIndexer, proj1_sig Yoneda10_transfL A \o
proj1_sig Yoneda10_ff A
=1 proj1_sig Yoneda10_transfR A \o proj1_sig
Yoneda10_ff A),
forall ( _transfL : 'CoMod(0 F ~> G @ Yoneda10_transfL )0 )
( _transfR : 'CoMod(0 F ~> G @ Yoneda10_transfR )0 )
Yoneda00_Z Yoneda01_Z (Z : @obCoMod Yoneda00_Z Yoneda01_Z)
Yoneda10_zz (zz : 'CoMod(0 F ~> Z @ Yoneda10_zz )0),
( ( ff o>CoMod zz )
: 'CoMod(0 L ~> Z @ Yoneda10_PolyCoMod Yoneda10_ff Yoneda10_zz )0 )
<~~ ( ( ( << ff ,CoMod Yoneda10_ff_eq @ transfL , transfR >> )
o>CoMod ( ~_1 @ _transfL , _transfR o>CoMod zz ) )
: 'CoMod(0 L ~> Z @ Yoneda10_PolyCoMod (Yoneda10_Pairing Yoneda10_ff_eq)
(Yoneda10_Project1 Yoneda10_transfL Yoneda10_transfR Yoneda10_zz) )0 )
#+END_EXAMPLE
KEYWORDS : 1337777.OOO ; COQ ; cut-elimination ; equalizers ;
polymorph metafunctors-grammar ; modos
OUTLINE :
* Generating-views data
* Grammatical presentation of objects and morphisms , with
sense-decoding as metafunctors and metatransformations
** Grammatical presentation of objects
** Grammatical presentation of morphisms
* Grammatical conversions of morphisms , which infer the same sense-decoding
** Grammatical conversions of morphisms
** Same sense-decoding for convertible morphisms
** Linear total/asymptotic grade and the degradation lemma
* Solution
** Solution morphisms without polymorphism
** Destruction of morphisms with inner-instantiation of object-indexes
* Polymorphism/cut-elimination by
computational/total/asymptotic/reduction/(multi-step) resolution
-----
EPILOGUE : Now there is enough data (for multiple masters-engineering)
to confirm the presence of some MODOS grammar, which is some style of
"substructural topos" ... where oneself could present grammatical
polymorph views-data ( "sheaves" ) , grammatical polymorph
generating-views ( "presentable category" ) , grammatical polymorph
internal functors ( "internal category" ) , grammatical polymorph
images ( "regular category" ) , grammatical polymorph unions (
"coherent category" ) ...
-----
Memo ( "prealables d'un debat" ) ref the unavoidable question : what
is the ends / added-value / product in mathematics ? The ends are
commonly described as research , which is the engineering of some
computational logical computer program or physical prototype (
"correct" ) , and education , which is the knowing-and-teaching of
random-moment dia-para-computalogical discoveries ( "ideas" ) .
But where is the money/pay ? Surprisingly even persons capable of very
complex mathematics can "bug" (
forced-fool-and-theft/lie/falsification ) on such small questions ...
reacting with completely pre-formated one-liners .
- whether public review of mathematical-ends is some unlimited
creation of resource/money/pay ? ( for example ,
https://github.com/1337777/cartier/issues )
- whether public-university registered-students shall have public
choice of who is their paid-teachers and where is their paid
classroom/videostream/book ? ( for example ,
https://www.youtube.com/watch?v=BhWHxiqQzrI&t=26m11s )
- whether if 99% of transfer of value occurs via information-knowledge
then for sure 99% of theft occurs via information-knowledge ? ( for
example , promotion/publisher by some interdependent-tribalistic
hidden "reviewer" is qualifiable as misappropriation of public funds )
... or is ubc not public ?
-----
BUY RECURSIVE T-SQUARE paypal.me/1337777 ; 微信支付 2796386464@qq.com ;
eth 0x54810dcb93b37DBE874694407f78959Fa222D920 ; amazon
amazon.com/hz/wishlist/ls/28SN02HR4EB8W ; irc #OOO1337777
^ permalink raw reply [flat|nested] 2+ messages in thread
* Re: [TYPES/announce] Tenure-Track Research and Teaching Positions at University of British Columbia, Vancouver, Canada
2017-12-31 12:37 ` [TYPES/announce] Tenure-Track Research and Teaching Positions at University of British Columbia, Vancouver, Canada 1337777.OOO
@ 2018-01-01 18:11 ` Devrim Ünal
0 siblings, 0 replies; 2+ messages in thread
From: Devrim Ünal @ 2018-01-01 18:11 UTC (permalink / raw)
To: coq-club; +Cc: Ronald Garcia, types-list, categories
[-- Attachment #1: Type: text/plain, Size: 6433 bytes --]
This recent post, looks like a phishing attack email, please beware.
2017-12-31 15:37 GMT+03:00 1337777.OOO <1337777.ooo@gmail.com>:
> Proph
>
> https://gitee.com/OOO1337777/cartier/blob/master/cartierSolution3.v
>
> solves half of some question of Cartier which is how to program
> grammatical polymorph metafunctors-full-subcategory
> containing-equalizers generated by some views ( "complete" ) ...
>
> The ends is to start from some generating/views data and then to add
> equalizers of morphisms ; but where are those equalizers ? Oneself
> could get them as metafunctors on this generating data, as long as
> oneself grammatically distinguishes whatever-is-interesting .
>
> In contrast from the earlier grammatical presentation of
> pairing-projections (product), now the equalizer-objects do depend on
> the morphisms . BUT THIS DEPENDENCE NEED-NOT BE GRAMMATICAL ! This
> dependence could be expressed via the sense-decoding ( "Yoneda" ) of
> the grammatical morphisms .
>
> The grammatical objects/morphisms are simultaneously-mutually
> presented with their sense-decoding ; this could be done via some
> common inductive-recursive presentation or alternatively by inferring
> the sense-decoding computation into extra indexes of the type-family
> of the object/morphisms .
>
> The conversion-relation shall convert across two morphisms whose
> sense-decoding indexes are not syntactically/grammatically-the-same.
> But oneself does show that, by logical-deduction, these two
> sense-decoding are indeed propositionally equal ( "soundness lemma" )
> .
>
> Finally, some linear total/asymptotic grade is defined on the
> morphisms and the tactics-automated degradation lemma shows that each
> of the conversion indeed degrades the redex morphism .
>
> For instant first impression , the conversion-relation constructor
> which says that the inclusion/restriction (projection) morphisms
> cancels the corestriction (pairing) morphism , is written as :
>
> #+BEGIN_EXAMPLE
> | Pairing_Project1 :
> forall Yoneda00_L Yoneda01_L (L : @obCoMod Yoneda00_L Yoneda01_L)
> Yoneda00_F Yoneda01_F (F : @obCoMod Yoneda00_F Yoneda01_F)
> Yoneda00_G Yoneda01_G (G : @obCoMod Yoneda00_G Yoneda01_G),
> forall Yoneda10_transfL (transfL : 'CoMod(0 F ~> G @ Yoneda10_transfL
> )0)
> Yoneda10_transfR (transfR : 'CoMod(0 F ~> G @ Yoneda10_transfR )0),
> forall Yoneda10_ff (ff : 'CoMod(0 L ~> F @ Yoneda10_ff )0),
> forall (Yoneda10_ff_eq :
> forall A : obIndexer, proj1_sig Yoneda10_transfL A \o
> proj1_sig Yoneda10_ff A
> =1 proj1_sig Yoneda10_transfR A \o proj1_sig
> Yoneda10_ff A),
> forall ( _transfL : 'CoMod(0 F ~> G @ Yoneda10_transfL )0 )
> ( _transfR : 'CoMod(0 F ~> G @ Yoneda10_transfR )0 )
> Yoneda00_Z Yoneda01_Z (Z : @obCoMod Yoneda00_Z Yoneda01_Z)
> Yoneda10_zz (zz : 'CoMod(0 F ~> Z @ Yoneda10_zz )0),
>
> ( ( ff o>CoMod zz )
> : 'CoMod(0 L ~> Z @ Yoneda10_PolyCoMod Yoneda10_ff Yoneda10_zz )0 )
> <~~ ( ( ( << ff ,CoMod Yoneda10_ff_eq @ transfL , transfR >> )
> o>CoMod ( ~_1 @ _transfL , _transfR o>CoMod zz ) )
> : 'CoMod(0 L ~> Z @ Yoneda10_PolyCoMod (Yoneda10_Pairing
> Yoneda10_ff_eq)
> (Yoneda10_Project1 Yoneda10_transfL Yoneda10_transfR
> Yoneda10_zz) )0 )
> #+END_EXAMPLE
>
> KEYWORDS : 1337777.OOO ; COQ ; cut-elimination ; equalizers ;
> polymorph metafunctors-grammar ; modos
>
> OUTLINE :
>
> * Generating-views data
>
> * Grammatical presentation of objects and morphisms , with
> sense-decoding as metafunctors and metatransformations
> ** Grammatical presentation of objects
> ** Grammatical presentation of morphisms
>
> * Grammatical conversions of morphisms , which infer the same
> sense-decoding
> ** Grammatical conversions of morphisms
> ** Same sense-decoding for convertible morphisms
> ** Linear total/asymptotic grade and the degradation lemma
>
> * Solution
> ** Solution morphisms without polymorphism
> ** Destruction of morphisms with inner-instantiation of object-indexes
>
> * Polymorphism/cut-elimination by
> computational/total/asymptotic/reduction/(multi-step) resolution
>
> -----
>
> EPILOGUE : Now there is enough data (for multiple masters-engineering)
> to confirm the presence of some MODOS grammar, which is some style of
> "substructural topos" ... where oneself could present grammatical
> polymorph views-data ( "sheaves" ) , grammatical polymorph
> generating-views ( "presentable category" ) , grammatical polymorph
> internal functors ( "internal category" ) , grammatical polymorph
> images ( "regular category" ) , grammatical polymorph unions (
> "coherent category" ) ...
>
> -----
>
> Memo ( "prealables d'un debat" ) ref the unavoidable question : what
> is the ends / added-value / product in mathematics ? The ends are
> commonly described as research , which is the engineering of some
> computational logical computer program or physical prototype (
> "correct" ) , and education , which is the knowing-and-teaching of
> random-moment dia-para-computalogical discoveries ( "ideas" ) .
>
> But where is the money/pay ? Surprisingly even persons capable of very
> complex mathematics can "bug" (
> forced-fool-and-theft/lie/falsification ) on such small questions ...
> reacting with completely pre-formated one-liners .
>
> - whether public review of mathematical-ends is some unlimited
> creation of resource/money/pay ? ( for example ,
> https://github.com/1337777/cartier/issues )
>
> - whether public-university registered-students shall have public
> choice of who is their paid-teachers and where is their paid
> classroom/videostream/book ? ( for example ,
> https://www.youtube.com/watch?v=BhWHxiqQzrI&t=26m11s )
>
> - whether if 99% of transfer of value occurs via information-knowledge
> then for sure 99% of theft occurs via information-knowledge ? ( for
> example , promotion/publisher by some interdependent-tribalistic
> hidden "reviewer" is qualifiable as misappropriation of public funds )
>
> ... or is ubc not public ?
>
> -----
>
> BUY RECURSIVE T-SQUARE paypal.me/1337777 ; 微信支付 2796386464@qq.com ;
> eth 0x54810dcb93b37DBE874694407f78959Fa222D920 ; amazon
> amazon.com/hz/wishlist/ls/28SN02HR4EB8W ; irc #OOO1337777
>
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2017-12-31 12:37 ` [TYPES/announce] Tenure-Track Research and Teaching Positions at University of British Columbia, Vancouver, Canada 1337777.OOO
2018-01-01 18:11 ` Devrim Ünal
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