I personally consider metabolism to be at the core of what constitutes ‘life’, 
so the notion of autopoeisis is very attractive to me.  It is also possible 
that the richness of life as we know it depends on having metabolisms 
(activity), genomes (memory), and reproduction combined.  The reductionistic 
approach to singling out one of these three pillars of life as its essence may 
be futile.  However, I want to point out that the most reduced version of 
‘life’ I have seen was proposed by Terry Deacon in the concept he calls 
“autocells”.  Terry has made great contributions to FIS dealing with related 
topics, and I hope he will chime in here to describe his minimalist form of 
life, which is not cellular, does not have any metabolism or genetically 
encoded memory.  Autocells do, however, reproduce.

Regards,

Guy

On Mar 29, 2016, at 1:55 PM, Louis H Kauffman 
<kauff...@uic.edu<mailto:kauff...@uic.edu>> wrote:

This is a reply to Plamen’s comment about autopoeisis. In their paper 
Maturana,Uribe and Varela give a working model (computer model) for autopoeisis.
It is very simple, consisting of a subtrate of nodal elements that tend to bond 
when in proximity, and a collection of catalytic nodal elements that promote 
bonding in their vicinity. The result of this dynamics is that carapaces of 
linked nodal elements form around the catalytic elements and these photo-cells 
tend to keep surviving the perturbations built into the system. This model 
shows that cells can arise from a very simple dynmamic geometric/topological 
substrate long before anything as sophisticated as DNA has happened.

On Mar 29, 2016, at 2:54 PM, Stanley N Salthe 
<ssal...@binghamton.edu<mailto:ssal...@binghamton.edu>> wrote:

Plamen wrote:

 I begin to believe that the transition from abiotic to biotic structures, 
incl. Maturana-Varela.-Uribe’s autopoiesis may, really have some underlying 
matrix/”skeleton”/”programme” which has nothing in common with the nature of 
DNA, and that DNA and RNA as we know them today may have emerged as secondary 
or even tertiary “memory” of something underlying deeper below the 
microbiological surface. It is at least worth thinking in this direction. I do 
not mean necessarily the role of the number concept and Platonic origin of the 
universe, but something probably much more “physical”


S: An interesting recently published effort along these lines is:

Alvaro Moreno and Matteo Mossio: Biological Autonomy: A Philosophical and 
Theoretical Enquiry (History, Philosophy and Theory of the Life Sciences 12) 
Springer

They seek a materialist understanding of biology as a system, attempting to 
refer to the genetic system as little as possible.

I have until very recently attempted to evade/avoid mechanistic thinking in 
regard to biology, but, on considering the origin of life generally while 
keeping Howard Pattee's thinking in mind, I have been struck by the notion that 
the origin of life (that is: WITH the genetic system) was the origin of 
mechanism in the universe.  Before that coding system, everything was mass 
action.  I think we still do not understand how this mechanism evolved.

STAN

On Tue, Mar 29, 2016 at 7:40 AM, Dr. Plamen L. Simeonov 
<plamen.l.simeo...@gmail.com<mailto:plamen.l.simeo...@gmail.com>> wrote:

Dear Lou, Pedro and All,


I am going to present a few opportunistic ideas related to what was said before 
in this session. Coming back to Pivar’s speculative mechano-topological model 
of life excluding genetics I wish to turn your attention to another author with 
a similar idea but on a sound mathematical base, Davide Ambrosi with his resume 
at 
https://www.uni-muenster.de/imperia/md/content/cim/events/cim-mathmod-workshop-2015_abstracts.pdf[uni-muenster.de]<https://urldefense.proofpoint.com/v2/url?u=https-3A__www.uni-2Dmuenster.de_imperia_md_content_cim_events_cim-2Dmathmod-2Dworkshop-2D2015-5Fabstracts.pdf&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=_T7SdN05Wrhhr1nc36T2RWnpoJHVHB51Shqz-_UroWk&e=>:
“Davide Ambrosi:
A role for mechanics in the growth, remodelling and morphogenesis of living 
systems  In the XX Century the interactions between mechanics in biology were 
much  biased by a bioengineering attitude: people were mainly interested in  
evaluating the state of stress that bones and tissues undergo in order to  
properly design prosthesis and devices. However in the last decades a new 
vision is emerging. "Mechano-biology" is changing the point of view, with 
respect to "Bio-mechanics", emphasizing the biological feedback. Cells, tissues 
and organs do not only deform when loaded: they reorganize, they duplicate, 
they actively produce dynamic patterns that apparently have multiple biological 
aims.
In this talk I will concentrate on two paradigmatic systems where the interplay 
between mechanics and biology is, in my opinion, particularly challenging: the 
homeostatic stress as a driver for remodeling of soft tissue and the tension as 
a mechanism to transmit information about the size of organs during 
morphogenesis. In both cases it seems that mechanics plays a role which at 
least accompanies and enforces the biochemical signaling.”


Some more details about this approach can be found here:
http://rsta.royalsocietypublishing.org/content/367/1902/3335[rsta.royalsocietypublishing.org]<https://urldefense.proofpoint.com/v2/url?u=http-3A__rsta.royalsocietypublishing.org_content_367_1902_3335&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=lbTH4PVI6KWYcZViN3HKc43W5ygB9hoz1CxkYrB9zMc&e=>
http://biomechanics.stanford.edu/paper/MFOreport.pdf[biomechanics.stanford.edu]<https://urldefense.proofpoint.com/v2/url?u=http-3A__biomechanics.stanford.edu_paper_MFOreport.pdf&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=AOPG4bnTmPaQB74FleBfuKOHVrBhhCKQtDXLZofiyi4&e=>
In other words, for the core information theorists in FIS, the question is: is 
there really only (epi)genetic evolution communication in living organisms. 
Stan Salthe and Lou Kauffman already provided some answers. I begin to believe 
that the transition from abiotic to biotic structures, incl. 
Maturana-Varela.-Uribe’s autopoiesis may, really have some underlying 
matrix/”skeleton”/”programme” which has nothing in common with the nature of 
DNA, and that DNA and RNA as we know them today
http://www.sciencedirect.com/science/article/pii/S0022519314006778[sciencedirect.com]<https://urldefense.proofpoint.com/v2/url?u=http-3A__www.sciencedirect.com_science_article_pii_S0022519314006778&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=DxJzRyLOKs2j14ZCgkQTg2BL-F0atH-SOEc8QDgnX0A&e=>
http://www.sciencedirect.com/science/article/pii/S0022519316001260[sciencedirect.com]<https://urldefense.proofpoint.com/v2/url?u=http-3A__www.sciencedirect.com_science_article_pii_S0022519316001260&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=EFZIvjlc0QwVE34EEmCRxFacfh9lEzA7WMPiXE-T9Bg&e=>
https://www.sciencedaily.com/releases/2015/01/150107101405.htm[sciencedaily.com]<https://urldefense.proofpoint.com/v2/url?u=https-3A__www.sciencedaily.com_releases_2015_01_150107101405.htm&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=VarCiNtfu0WB7ssq0XecL8Y3_OAR6GriVsKogR6UnAY&e=>
may have emerged as secondary or even tertiary “memory” of something underlying 
deeper below the microbiological surface. It is at least worth thinking in this 
direction. I do not mean necessarily the role of the number concept and 
Platonic origin of the universe, but something probably much more “physical” or 
at least staying at the edge between physical/material and immaterial such as 
David Deutsch’s constructor theory 
(http://constructortheory.org/[constructortheory.org]<https://urldefense.proofpoint.com/v2/url?u=http-3A__constructortheory.org_&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=cBRH-_7_jnqzsL-JXGIwZKAffXHxsql9NTef0Q4JqMo&e=>)
 and Brian Josephson’s “structural/circular theory” 
(http://arxiv.org/ftp/arxiv/papers/1502/1502.02429.pdf[arxiv.org]<https://urldefense.proofpoint.com/v2/url?u=http-3A__arxiv.org_ftp_arxiv_papers_1502_1502.02429.pdf&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=5DPeteJOARrrdu3wZXsc9TeAJnlfjoAStx0I4fFTiTU&e=>;
 
http://arxiv.org/ftp/arxiv/papers/1506/1506.06774.pdf[arxiv.org]<https://urldefense.proofpoint.com/v2/url?u=http-3A__arxiv.org_ftp_arxiv_papers_1506_1506.06774.pdf&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=GfECg4XXfL6FnB9xrIx7CbmmS7zFvc5kZ7qbob-Ggg8&e=>;
 
http://arxiv.org/pdf/1108.4860.pdf[arxiv.org]<https://urldefense.proofpoint.com/v2/url?u=http-3A__arxiv.org_pdf_1108.4860.pdf&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=oH1c1HTm_zw3Qs4-Nra740uHe8vpfhQFWB9dMB-SxQ8&e=>)
 searching for the theories underpinning the foundations of the physical laws 
(and following Wheeler’s definition for a “Law without Law”.
Some of you may say that QT and Gravitation Theory are responsible for such 
kind of strange effects, but I would rather leave the brackets open, because 
the recent discussion about potentialities and actualities in QM brings up the 
idea that there are still different ways of looking at those concepts (although 
they are strictly defined in their core domains). This was actually also the 
lesson from the last special issue on integral biomathics (2015) dedicated to 
phenomenology, with the different opinions of scientists and philosophers on 
obviously clear matters in their domains. This is why also the question of what 
we define as science needs to be probably revised in future to include also 
such issues that are “felt” rather than “reasoned”, even if we do not have the 
“proofs” yet, because the proofs also emerge as subjective (or perhaps 
“suggested”! – ask the psychologists for that aspect) thoughts in the minds of 
the mathematicians. I am really glad that we began such a phenomenological 
discussion on this aspect such as Hipolito’s paper 
(http://www.sciencedirect.com/science/article/pii/S0079610715000899[sciencedirect.com]<https://urldefense.proofpoint.com/v2/url?u=http-3A__www.sciencedirect.com_science_article_pii_S0079610715000899&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=apJF3sUaaHRFulnzBXKBy42csLR8tus_Z5r3IhsYU1Q&e=>)
 that was widely commented in the reviewer’s circle. In many cases when we have 
a “fuzzy” intuition about a certain relationship or analogy we miss the correct 
definitions and concepts, and so in a creative act to hold down the flying 
thought we move to using examples, metaphors, pictures. Pedro correctly 
addressed the explanatory problem of science which presupposes a certain 
causative and predicative “workflow” to derive a conclusion from the facts, and 
this is the way in which also proofs are (selectively) made. As a young scholar 
I often wondered how artificially people like Gauss, Cauchy and Weierstrass  
design their proofs, but then I got used to that style. I am thankful to Lou 
for his response on my question about using adequate “resonant” methods to 
model developmental biology, because this is also an important aspect of the 
biology (and physics as well) including the phenomenological/first-person view 
of an “observer-participant” (to use Vrobel’s term) which is crucial for 
understanding the process of self-reflection/recursion/cycle in science, which 
is usually led by what?: the intuition, also well recognized by such giants 
like Poincare and Einstein. Isn’t not “resonance” in the core of detecting such 
vibration between the observer and the observed? Because logic, back trace, 
prove come later.
And finally, when looking at the clear simple mathematical abstractions of 
numbers, vectors, directions, sets, algebras, geometries, etc. used by many 
without scrutinizing when developing system (biological) models of yet another 
kind of mechanics/automation/machinery of the physical reality, I am asking 
myself which are the premises for using such tools to describe a model: the 
parameters, or the idea behind? It is probably not a commonly known fact (even 
for those who are engaged with such exciting disciplines as algebraic geometry 
and geometrical algebra, now considered to be very close to what we wish to 
express in biology) that William Hamilton, the inventor of the quaternions did 
not simply use the already known concept of “vector” in his method. Instead he 
used “step” with “direction” to express a duration of time (or “duree” as 
Husserl called it from the other side of the phenomenological divide) and 
action (to move from A to B): two very biology-related concepts at that time 
(although they may be considered as physical or computational today). He 
actually stated that if there is geometry as a pure science of space, then 
algebra must be the pure science of time [1]. What did we actually gain for 
biology from merging space and time in physics?
Reference:
[1] W. R. Hamilton, 1835. Theory of Conjugate Functions, or Algebraic Couples; 
with a Preliminary or Elementary Essay on Algebra as the Science of Pure Time. 
Trans. Royal Irish Acad., Vol. XVII, Part II. 292-422.

Best,

Plamen

I have a few provoking notes related to what was said before in this session. 
Coming back to Pivar’s speculative mechano-topological model of life excluding 
genetics I wish to turn your attention to another author with a similar idea 
but on a sound mathematical base, Davide Ambrosi with his resume at 
https://www.uni-muenster.de/imperia/md/content/cim/events/cim-mathmod-workshop-2015_abstracts.pdf[uni-muenster.de]<https://urldefense.proofpoint.com/v2/url?u=https-3A__www.uni-2Dmuenster.de_imperia_md_content_cim_events_cim-2Dmathmod-2Dworkshop-2D2015-5Fabstracts.pdf&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=_T7SdN05Wrhhr1nc36T2RWnpoJHVHB51Shqz-_UroWk&e=>:
“Davide Ambrosi:
A role for mechanics in the growth, remodelling and morphogenesis of living 
systems  In the XX Century the interactions between mechanics in biology were 
much  biased by a bioengineering attitude: people were mainly interested in  
evaluating the state of stress that bones and tissues undergo in order to  
properly design prosthesis and devices. However in the last decades a new 
vision is emerging. "Mechano-biology" is changing the point of view, with 
respect to "Bio-mechanics", emphasizing the biological feedback. Cells, tissues 
and organs do not only deform when loaded: they reorganize, they duplicate, 
they actively produce dynamic patterns that apparently have multiple biological 
aims.
In this talk I will concentrate on two paradigmatic systems where the interplay 
between mechanics and biology is, in my opinion, particularly challenging: the 
homeostatic stress as a driver for remodeling of soft tissue and the tension as 
a mechanism to transmit information about the size of organs during 
morphogenesis. In both cases it seems that mechanics plays a role which at 
least accompanies and enforces the biochemical signaling.”


Some more details about this approach can be found here:
http://rsta.royalsocietypublishing.org/content/367/1902/3335[rsta.royalsocietypublishing.org]<https://urldefense.proofpoint.com/v2/url?u=http-3A__rsta.royalsocietypublishing.org_content_367_1902_3335&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=lbTH4PVI6KWYcZViN3HKc43W5ygB9hoz1CxkYrB9zMc&e=>
http://biomechanics.stanford.edu/paper/MFOreport.pdf[biomechanics.stanford.edu]<https://urldefense.proofpoint.com/v2/url?u=http-3A__biomechanics.stanford.edu_paper_MFOreport.pdf&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=AOPG4bnTmPaQB74FleBfuKOHVrBhhCKQtDXLZofiyi4&e=>
In other words, for the core information theorists in FIS, the question is: is 
there really only (epi)genetic evolution communication in living organisms. 
Stan Salthe and Lou Kauffman already provided some answers. I begin to believe 
that the transition from abiotic to biotic structures, incl. 
Maturana-Varela.-Uribe’s autopoiesis may, really have some underlying 
matrix/”skeleton”/”programme” which has nothing in common with the nature of 
DNA, and that DNA and RNA as we know them today
http://www.sciencedirect.com/science/article/pii/S0022519314006778[sciencedirect.com]<https://urldefense.proofpoint.com/v2/url?u=http-3A__www.sciencedirect.com_science_article_pii_S0022519314006778&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=DxJzRyLOKs2j14ZCgkQTg2BL-F0atH-SOEc8QDgnX0A&e=>
http://www.sciencedirect.com/science/article/pii/S0022519316001260[sciencedirect.com]<https://urldefense.proofpoint.com/v2/url?u=http-3A__www.sciencedirect.com_science_article_pii_S0022519316001260&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=EFZIvjlc0QwVE34EEmCRxFacfh9lEzA7WMPiXE-T9Bg&e=>
https://www.sciencedaily.com/releases/2015/01/150107101405.htm[sciencedaily.com]<https://urldefense.proofpoint.com/v2/url?u=https-3A__www.sciencedaily.com_releases_2015_01_150107101405.htm&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=VarCiNtfu0WB7ssq0XecL8Y3_OAR6GriVsKogR6UnAY&e=>
may have emerged as secondary or even tertiary “memory” of something underlying 
deeper below the microbiological surface. It is at least worth thinking in this 
direction. I do not mean necessarily the role of the number concept and 
Platonic origin of the universe, but something probably much more “physical” or 
at least staying at the edge between physical/material and immaterial such as 
David Deutsch’s constructor theory 
(http://constructortheory.org/[constructortheory.org]<https://urldefense.proofpoint.com/v2/url?u=http-3A__constructortheory.org_&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=cBRH-_7_jnqzsL-JXGIwZKAffXHxsql9NTef0Q4JqMo&e=>)
 and Brian Josephson’s “structural/circular theory” 
(http://arxiv.org/ftp/arxiv/papers/1502/1502.02429.pdf[arxiv.org]<https://urldefense.proofpoint.com/v2/url?u=http-3A__arxiv.org_ftp_arxiv_papers_1502_1502.02429.pdf&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=5DPeteJOARrrdu3wZXsc9TeAJnlfjoAStx0I4fFTiTU&e=>;
 
http://arxiv.org/ftp/arxiv/papers/1506/1506.06774.pdf[arxiv.org]<https://urldefense.proofpoint.com/v2/url?u=http-3A__arxiv.org_ftp_arxiv_papers_1506_1506.06774.pdf&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=GfECg4XXfL6FnB9xrIx7CbmmS7zFvc5kZ7qbob-Ggg8&e=>;
 
http://arxiv.org/pdf/1108.4860.pdf[arxiv.org]<https://urldefense.proofpoint.com/v2/url?u=http-3A__arxiv.org_pdf_1108.4860.pdf&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=oH1c1HTm_zw3Qs4-Nra740uHe8vpfhQFWB9dMB-SxQ8&e=>)
 searching for the theories underpinning the foundations of the physical laws 
(and following Wheeler’s definition for a “Law without Law”.
Some of you may say that QT and Gravitation Theory are responsible for such 
kind of strange effects, but I would rather leave the brackets open, because 
the recent discussion about potentialities and actualities in QM brings up the 
idea that there are still different ways of looking at those concepts (although 
they are strictly defined in their core domains). This was actually also the 
lesson from the last special issue on integral biomathics (2015) dedicated to 
phenomenology, with the different opinions of scientists and philosophers on 
obviously clear matters in their domains. This is why also the question of what 
we define as science needs to be probably revised in future to include also 
such issues that are “felt” rather than “reasoned”, even if we do not have the 
“proofs” yet, because the proofs also emerge as subjective (or perhaps 
“suggested”! – ask the psychologists for that aspect) thoughts in the minds of 
the mathematicians. I am really glad that we began such a phenomenological 
discussion on this aspect such as Hipolito’s paper 
(http://www.sciencedirect.com/science/article/pii/S0079610715000899[sciencedirect.com]<https://urldefense.proofpoint.com/v2/url?u=http-3A__www.sciencedirect.com_science_article_pii_S0079610715000899&d=BQMFaQ&c=jifKnBYnyVBhk1h9O3AIXsy5wsgdpA1H51b0r9C8Lig&r=WWj6u_HZ1KhHL3nPIUsokA&m=D0TcxQ6zyqYNL3T8lAQlAhO4rvsgCtgDa2fVe1LtYGQ&s=apJF3sUaaHRFulnzBXKBy42csLR8tus_Z5r3IhsYU1Q&e=>)
 that was widely commented in the reviewer’s circle. In many cases when we have 
a “fuzzy” intuition about a certain relationship or analogy we miss the correct 
definitions and concepts, and so in a creative act to hold down the flying 
thought we move to using examples, metaphors, pictures. Pedro correctly 
addressed the explanatory problem of science which presupposes a certain 
causative and predicative “workflow” to derive a conclusion from the facts, and 
this is the way in which also proofs are (selectively) made. As a young scholar 
I often wondered how artificially people like Gauss, Cauchy and Weierstrass  
design their proofs, but then I got used to that style. It was a question of 
overall convention. I am thankful to Lou for his response on my question about 
using adequate “resonant” methods to model developmental biology, because this 
is also an important aspect of the biology (and physics as well) including the 
phenomenological/first-person view of an “observer-participant” (to use 
Vrobel’s term) which is crucial for understanding the process of 
self-reflection/recursion/cycle in science, which is usually led by what?: the 
intuition, also well recognized by such giants like Poincare and Einstein. 
Isn’t not “resonance” in the core of detecting such vibration between the 
observer and the observed? Because logic, backtracing and proof come later.

And finally, when looking at the clear simple mathematical abstractions of 
numbers, vectors, directions, sets, algebras, geometries, etc. used by many 
without scrutinizing when developing system (biological) models of yet another 
kind of mechanics/automation/machinery of the physical reality, I am asking 
myself which are the premises for using such tools to describe a model: the 
parameters, or the idea behind? It is probably not a commonly known fact (even 
for those who are engaged with such exciting disciplines as algebraic geometry 
and geometrical algebra, now considered to be very close to what we wish to 
express in biology) that William Hamilton, the inventor of the quaternions did 
not simply use the already known concept of “vector” in his method. Instead he 
used “step” with “direction” to express a duration of time (or “duree” as 
Husserl called it from the other side of the phenomenological divide) and 
action (to move from A to B): two very biology-related concepts at that time 
(although they may be considered as physical or computational today). He 
actually stated that if there is geometry as a pure science of space, then 
algebra must be the pure science of time [1]. What did we actually gain for 
biology from merging space and time in physics? And if we apply a specific 
mathematical-computational technique what is the key idea/intuition behind it?. 
Because, as a colleague pathologist told me this morning about the model 
correctness when predicting the development of tumors: the model can be assumed 
for being correct based on the interpretation of some (limited) set of data, 
but Ptolemy's system was also considered to be correct in its rather complex 
way of predicting the movement of the celestial bodies. Where is the 
difference? I am curious about your opinion.

Reference:
[1] W. R. Hamilton, 1835. Theory of Conjugate Functions, or Algebraic Couples; 
with a Preliminary or Elementary Essay on Algebra as the Science of Pure Time. 
Trans. Royal Irish Acad., Vol. XVII, Part II. 292-422.

Best,

Plamen
______________________

2015 JPBMB Special Issue on Integral Biomathics: Life Sciences, Mathematics and 
Phenomenological 
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