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eclass.uoa.gr eclass.uoa.gr
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t follows I shall explain brie fly and in an elementary way why I considerthe methods of quantum mechanics fundamentally unsatisfactory
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herefore inclined to believe that the description of quantum mechanics inthe sense of Ia has to be regarded as an incomplete and indirect description of reality,to be replaced at some later date by a more complete and direct one.
- Einstein's conclusions
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It follows that every statement about S2 which we arriveat as a result of a complete measurement of S1 has to be valid for the system S2, evenif no measurement whatsoever is carried out on S1. This would mean that allstatements which can be deduced from the settlement of ψ2 or ψ2' mustsimultaneously be valid for S2
- IMPORTANT paragrah for Einstein's reasoning:
- Based on "LOCALITY" (physical local effects)
- All POSSIBLE (measurement at S1 or NOT) DIFFERENT Psi2 refer to the real state of affairs of S2
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This is, of course, impossible, if ψ2, ψ2', etc. shouldrepresent different real states of affairs for S2, that is, one comes into conflict with theIb interpretation of the ψ-function
- Einstein's Criticism about that Psi "represents" THE physical reality
- [ME] Is IT equivalent to that QM is NOT a "complete" PHYSICAL THEORY?
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an operation, however, can have no direct in fluence on the physical realityin a remote part R2 of space
- Einstein insists in the "physical" idea of LOCALITY of effects
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Einstein cannot accept the fundamental fact of "entangled" systems explained to himby Schrödinger, that they cannot be separated
- ????
- It seems a commentary (author?)
- The "definitory" key point about entanglement is that the INDIVIDUAL QUANTUM STATES cannot be separated from the QUANTUM STATE of the "global" system
- But Einstein refers to "real" state of affairs
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principle II, i.e. the independent existence of the real stateof affairs existing in two separate parts of space R1 and R2
- IMPORTANT:
- Einstein ALWAYS talk about the REAL "state" of affairs
- He doesn't talk about the quantum states
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from the point of view of quantum mechanics alone, this does not presentany difficulty. For, according to the choice of measurement to be carried out on S1, adifferent real situation is created, and the necessity of having to attach two or moredifferent ψ-functions ψ2, ψ2', ... to one and the same system S1 cannot arise.
- I dont understand this point:
- These different Psi2 are NOT "concurrent"
- They are "possibilities"
- ONLY one Psi2 is "created" with the collapse
- IMPORTANT:
- Einstein says: "a different REAL situacion is created"
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sulting ψ2 depends on this choice, so that di fferent kinds of (statistical)predictions regarding measurements to be carried out later on S2 are obtained,according to the choice of measurement carried out on S1
- IMPORTANT: KEY POINT by Einstein
- "Depending" on the "choice" at S1, the Psi2 IS DIFFERENT!!! with DIFFERENT (statistical) predictions about (future???) measurements at S2
- [ME]: COULD two differents Psi2 give SAME predictions??? BECAUSE the "CORRELATIONS" between results at S1 and S2 are "confirmed" a posteriori
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This means, from the pointof view of the interpretations of Ib, that according to the choice of completemeasurement of S1 a different real situation is being created in regard to S2, which canbe described variously by ψ2, ψ2', ψ2'', etc
- Einstein: According interpretation Ib, Psi represents something "real" about the INDIVIDUAL system, and COULD be more than one Psi2
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Any "measurement" instantaneously collapses the two-particle wave function ψ12.There is no "later" collapse when measuring the "other" system S2
- IMPORTANT
- Einstein talks about the "collapse" of the Psi12
- "due to" any "measurement" at S1
- WARNING:
- Einstein says: No "latter" collapse when measurement at S2
- BUT (taking into account SR) the temporal ORDER of the measurements at S1 or S2, depends on the Inertial System
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make the assertion that the interpretation of quantum mechanics(according to Ib) is not consistent with principle II
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llowing idea characterizes the relative independence of objects far apart inspace (A and B): external influence on A has no direct influence on B; this is known asthe 'principle of contiguity', which is used consistently only in the field theory. If thisaxiom were to be completely abolished, the idea of the existence of (quasi-) enclosedsystems, and thereby the postulation of laws which can be checked empirically in theaccepted sense, would become impossible
- IMPORTANCE of "separation" or "locality of effects"
- IF NOT, it would be impossible check anything!!!
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Anessential aspect of this arrangement of things in physics is that they lay claim, at acertain time, to an existence independent of one another, provided these objects 'aresituated in different parts of space'. Unless one makes this kind of assumption aboutthe independence of the existence (the 'being-thus') of objects which are far apart fromone another in space which stems in the first place from everyday thinking - physicalthinking in the familiar sense would not be possible. It is also hard to see any way offormulating and testing the laws of physics unless one makes a clear distinction of thiskind
- "Independence" between spatially separated objects
- =?=LOCALITY
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the concepts ofphysics relate to a real outside world, that is, ideas are established relating to thingssuch as bodies, fields, etc., which claim a 'real existence' that is independent of theperceiving subject
- Philosophy of Physics
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we assume (in the sense of interpretation Ib) that the ψ-function completely describes a real state of affairs, and that two (essentially) differentψ-functions describe two different real states of affairs, even if they could lead toidentical results when a complete measurement is made. If the results of themeasurement tally, it is put down to the influence, partly unknown, of the measurementarrangements
- EVEN: The results "may not allow to distinguish" between two different Psi functions
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According to this point of view, two ψ-functions which differ in more thantrivialities always describe two different real situations
- IF Psi is a COMPLETE description, THEN two different functions, "represent" or "describe" two different "REAL" situations
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italone does justice in a natural way to the empirical state of affairs expressed inHeisenberg's principle within the framework of quantum mechanics
- Einstein distinguishes between "real" and "empirical state of affairs"
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(b) In reality the particle has neither a definite momentum nor a definite position;the description by ψ-function is in principle a complete description. The sharply-defined position of the particle, obtained by measuring the position, cannot beinterpreted as the position of the particle prior to the measurement. The sharplocalisation which appears as a result of the measurement is brought about onlyas a result of the unavoidable (but not unimportant) operation of measurement.The result of the measurement depends not only on the real particle situationbut also on the nature of the measuring mechanism, which in principle isincompletely known. An analogous situation arises when the momentum or anyother observable relating to the particle is being measured. This is presumablythe interpretation preferred by physicists at present
- Clear exposition by Einstein of Copenhagen "interpretation"
- Result is NOT a PRIOR value
- it DEPENDS (not unimportat==decisively) on HOW the measurement is made (see Bohr)
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According to this point of view, the ψ-function represents an incompletedescription of the real state of affairs. This point of view is not the one physicistsaccept
- "physicists"=={Einstein, Schrodinger, de Broglie, and few more)
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der a free particle described at a certain time by a spatially restricted ψ-function (completely described - in the sense of quantum mechanics). According tothis, the particle possesses neither a sharply defined momentum nor a sharply definedposition. In which sense shall I imagine that this representation describes a real,individual state of affairs?
- Theory (QM) as "representation" of "real" (and INDIVIDUAL) "state of affairs"
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I imagine that this theory maywell become a part of a subsequent one, in the same way as geometrical optics is nowincorporated in wave optics: the inter-relationships will remain, but the foundation willbe deepened or replaced by a more comprehensive one.
- Hope
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www.informationphilosopher.com www.informationphilosopher.com
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Einstein’s objectively real view that aparticle has a position, a continuous path, and various propertiesthat are conserved as long as the particle suffers no interaction thatcould change any of those properties
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It is impossible to predict in which of the two beams thephoton will be found
- WHY?
- The theory doesn't permit predict this
- BUT QM gives "correct" statistical results
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s Einstein’s “objective reality”sees it, an individual photon is always in a single quantum state!
- IMPORTANT:
- Einstein talks (with Schrodinger) about the "real state of affairs"
- They think of a "real physical state"
- Eisntein doubts about if the mathematical "quantum" state (ket or wave function) IS the "complete" "representation" of this (hypothetical) "real state"
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This is to remind us that Einstein had long accepted thecontroversial idea that quantum mechanics is a statistical theory,despite the claims of some of his colleagues, notably Born, thatEinstein’s criticisms of quantum mechanics were all intended torestore determinism and eliminate chance and probabilities.
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- Aug 2024
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en.wikipedia.org en.wikipedia.org
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If you put in all physics data up to 1904, would an AI ever be able to have come up with anything from Einstein's annus mirabilis? I suspect not, at least right now.
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- Jul 2024
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arxiv.org arxiv.org
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t was as important for him to improvise on the piano as it was for himto work on his physics. ’It is a way for me to be independent of people,’ he said.’And this is highly necessary for the kind of society in which we have.’5
- Esintein
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arxiv.org arxiv.org
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PBR cite the above paragraph fromEinstein's 1935 letter to Schrödinger saying that for the same state of B there are twoequally justified ψB"
- Einstein worry
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But note that the general ideathat two distinct quantum states may describe the same state of reality has a longhistory going back to Einstein. For example, in a letter to Schrödinger containing avariant of the famous EPR (Einstein-Podolsky-Rosen) argument, Einstein argues fromlocality to the conclusion that [... quoting Einstein's argument]. In this version of theargument, Einstein really is concerned with the idea that there are two distinctquantum states for the same reality, and not with the idea that there are two differentstates of reality corresponding to the same quantum state (the more commonlyunderstood notion of incompleteness)".
- ok!
- see my first comment [page 1] go
- IMPORTANT:
- IF QM is like "statistical mechanics", One Q state is "macroscopic" state of "many" distinct "microscopic" "real" states
- Einstein worry: 2 different Q states for 1 "real state of affairs"
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arxiv.org arxiv.org
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wouldmean that in that case connections between Nature’s choices of the outcomesof measuring q2 or alternatively p2 cannot be assumed not to depend uponwhether q1 or p1 is measured
- Einstein!!!
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- Jun 2024
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we're getting nowhere because the thinking that we're using to address the uh the problems is the same thinking that's creating them
for - quote - Einstein
quote - Einstein - Nora opens with the quote often attributed to Einstein but who's likely source is Ram Dass misquoting Einstein
to - page discussing Einstein's misquote and attributing to Ram Dass - https://hyp.is/GffY3iFNEe-4Lft-dGCoPA/hsm.stackexchange.com/questions/7751/did-einstein-say-we-cannot-solve-our-problems-with-the-same-thinking-we-used-to
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- Feb 2024
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docdrop.org docdrop.org
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However, in his 1920 speech given at the University of Leiden, he proclaimed in German, "According to the General Theory of Relativity, space without aether is unthinkable." [25].
In 1920 Einstein made a speech whereby he states that "space without aether is unthinkable."
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- Nov 2023
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advancedcommunities.com advancedcommunities.com
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Salesforce promotes Einstein GPT as the world’s first generative AI tool for CRM. Built on the GPT-3 (Generative Pre-trained Transformer) architecture and integrated in all of Salesforce Clouds as well as Tableau, MuleSoft, and Slack, Einstein GPT is capable of generating natural language responses to customer queries, creating personalized content, and even drafting entire email messages on behalf of sales representatives.
Curious to see how AI automation solutions may complement with the Experience Cloud Products
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- Feb 2023
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www.academia.edu www.academia.edu
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Einstein declared after he studied ‘ Holism and Evolution ’ that two mental constructs would direct human thinking in the next millennium* his own theory of relativity and Smuts> of ‘ holism ’ .
- Einstein studied Jan Smuts book, "Holism and Evolution"
- Einstein declared that two constructs would direct human thinking in the next millenium, relativity and Smuts' "holism"
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- Jan 2023
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www.linkedin.com www.linkedin.com
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“A human being is a part of the whole, called by us, ‘Universe’, a part limited in time and space. He experiences himself, his thoughts and feelings as something separated from the rest - a kind of optical delusion of his consciousness. This delusion is a kind of prison for us, restricting us to our personal desires and to affection for a few persons nearest to us. Our task must be to free ourselves from this prison by widening our circle of compassion to embrace all living creatures and the whole of nature in its beauty. Nobody is able to achieve this completely, but the striving for such achievement is in itself a part of the liberation and a foundation for inner security.”
!- quotable : Einstein on holism
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Indeed he identified Smuts as one of ten people in the world who, he believed, truly understood relativity.
!- Einstein : praise for Jan Smuts Holism
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- Dec 2022
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nautil.us nautil.us
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In 1929, Einstein received a telegram inquiring about his belief in God from a New York rabbi named Herbert S. Goldstein, who had heard a Boston cardinal say that the physicist’s theory of relativity implies “the ghastly apparition of atheism.” Einstein settled Goldstein down. “I believe in Spinoza’s God, who reveals himself in the lawful harmony of the world,” he told him, “not in a God who concerns himself with the fate and the doings of mankind.”
!- quotation : Albert Einstein - in response to New York Rabbi Herbert S. Goldstein in 1929, - Einstein said he believed in Spinoza's God
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May I not reply with a parable? The human mind, no matter how highly trained, cannot grasp the universe. We are in the position of a little child, entering a huge library whose walls are covered to the ceiling with books in many different tongues. The child knows that someone must have written those books. It does not know who or how. It does not understand the languages in which they are written. The child notes a definite plan in the arrangement of the books, a mysterious order, which it does not comprehend, but only dimly suspects. That, it seems to me, is the attitude of the human mind, even the greatest and most cultured, toward God. We see a universe marvellously arranged, obeying certain laws, but we understand the laws only dimly. Our limited minds cannot grasp the mysterious force that sways the constellations. I am fascinated by Spinoza’s Pantheism. I admire even more his contributions to modern thought. Spinoza is the greatest of modern philosophers, because he is the first philosopher who deals with the soul and the body as one, not as two separate things.
!- quotation : Albert Einstein - A profound and enlightening quotation comparing the human mind's understanding of the natural world - quoteworthy metaphor of a library compared to nature - By his own admission, Einstein was NOT an atheist
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1954 letter Einstein
!- Einstein : 1954 letter
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How Einstein Reconciled Religion to Science
!- Einstein : reconciling religion and science
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www.youtube.com www.youtube.com
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https://www.youtube.com/watch?v=Q8Xaw72ESdA
According to researcher Danny Hatcher, the "Feynman Technique" was coined by Scott H. Young in the August 22, 2011 YouTube video Learn Faster with The Feynman Technique and the subsequent 2022-09-01 article Learn Faster with Feynman Technique, ostensibly in a summarization of Gleick, James (1992). Genius: The Life and Science of Richard Feynman. Pantheon Books. ISBN 0-679-40836-3. OCLC 243743850.
The frequently quoted Einstein that accompanies many instances of the Feynman Technique is also wrong and not said by Einstein.
The root Einstein quote, is apparently as follows:
that all physical theories, their mathematical expressions apart ought to lend themselves to so simple a description 'that even a child could understand them.' —Ronald W. Clark, p418 of Einstein: His Life and Times (1972)
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- Oct 2022
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Local file Local file
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Albert Einstein asserted that‘Education is what remains when we have forgotten everything that has beenlearned at school.’
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- Sep 2022
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Local file Local file
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• Daily writing prevents writer’s block.• Daily writing demystifies the writing process.• Daily writing keeps your research always at the top of your mind.• Daily writing generates new ideas.• Daily writing stimulates creativity• Daily writing adds up incrementally.• Daily writing helps you figure out what you want to say.
What specifically does she define "writing" to be? What exactly is she writing, and how much? What does her process look like?
One might also consider the idea of active reading and writing notes. I may not "write" daily in the way she means, but my note writing, is cumulative and beneficial in the ways she describes in her list. I might further posit that the amount of work/effort it takes me to do my writing is far more fruitful and productive than her writing.
When I say writing, I mean focused note taking (either excerpting, rephrasing, or original small ideas which can be stitched together later). I don't think this is her same definition.
I'm curious how her process of writing generates new ideas and creativity specifically?
One might analogize the idea of active reading with a pen in hand as a sort of Einsteinian space-time. Many view reading and writing as to separate and distinct practices. What if they're melded together the way Einstein reconceptualized the space time continuum? The writing advice provided by those who write about commonplace books, zettelkasten, and general note taking combines an active reading practice with a focused writing practice that moves one toward not only more output, but higher quality output without the deleterious effects seen in other methods.
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- Jun 2022
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www.themarginalian.org www.themarginalian.org
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There is, of course, a certain connection between those elements and relevant logical concepts. It is also clear that the desire to arrive finally at logically connected concepts is the emotional basis of this rather vague play with the above-mentioned elements. But taken from a psychological viewpoint, this combinatory play seems to be the essential feature in productive thought — before there is any connection with logical construction in words or other kinds of signs which can be communicated to others.
==combinatory play seems to be the essential feature in productive thought==<br /> —Albert Einstein in a 1945 response to Jacques Hadamard's survey of famous scientists' mental processes which was published in An Essay on the Psychology of Invention in the Mathematical Field.
Hadamard's essay was inspired by Henri Poincaré's The Foundations of Science.
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- May 2022
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Local file Local file
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scanned for solutions to long-standing problems in his reading,conversations, and everyday life. When he found one, he couldmake a connection that looked to others like a flash of unparalleledbrilliance
Feynman’s approach encouraged him to follow his interests wherever they might lead. He posed questions and constantly
Creating strong and clever connections between disparate areas of knowledge can appear to others to be a flash of genius, in part because they didn't have the prior knowledges nor did they put in the work of collecting, remembering, or juxtaposition.
This method may be one of the primary (only) underpinnings supporting the lone genius myth. This is particularly the case when the underlying ideas were not ones fully developed by the originator. As an example if Einstein had fully developed the ideas of space and time by himself and then put the two together as spacetime, then he's independently built two separate layers, but in reality, he's cleverly juxtaposed two broadly pre-existing ideas and combined them in an intriguing new framing to come up with something new. Because he did this a few times over his life, he's viewed as an even bigger genius, but when we think about what he's done and how, is it really genius or simply an underlying method that may have shaken out anyway by means of statistical thermodynamics of people thinking, reading, communicating, and writing?
Are there other techniques that also masquerade as genius like this, or is this one of the few/only?
Link this to Feynman's mention that his writing is the actual thinking that appears on the pages of his notes. "It's the actual thinking."
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“Combinatory play,” said Einstein, “seems to be the essential feature in productive thought.”
excellent quote
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- Apr 2022
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www.sciencenews.org www.sciencenews.org
- Nov 2021
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www.einstein-website.de www.einstein-website.de
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The most beautiful and deepest experience a man can have is the sense of the mysterious.
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- Oct 2021
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www.brainpickings.org www.brainpickings.org
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trailblazing physicist David Bohm and Indian spiritual philosopher Jiddu Krishnamurti sat down for a mind-bending, soul-stretching series of conversations about some of the most abiding human concerns: time, transcendence, compassion, death, the nature of reality, and the meaning of existence.
What came up for me in exploring the parallels between writing and mathematics.
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- Feb 2021
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en.wikiversity.org en.wikiversity.org
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Imagination occurs a total of 82 times in this article.
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- Apr 2020
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McGann, M., & Speelman, C. (2020). Two Kinds of Theory: What Psychology Can Learn From Einstein [Preprint]. PsyArXiv. https://doi.org/10.31234/osf.io/sp94q
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- Dec 2019
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www.ribbonfarm.com www.ribbonfarm.com
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In other fields, you can get going after a relatively short time. In mathematics, you can find reputation-making problems that you can actually attack after just a couple of years of college. It is very unlikely that you will make a significant contribution to Shakespeare scholarship before 30. And you’ll read a lot more. Which brings me to the question, once you know what your interests are, how much should you read? How much should you slow down your reading as you age? What is the most fertile ratio of reading to creating? The answer can be tricky. As fields mature, and apparently unsolvable controversies start to dominate (such as has happened at the edge of physics, around superstring theory), a high-paradigm field can become low-paradigm. Subfields can differ: “systems engineering” is lower-paradigm than electrical or mechanical engineering. But Einstein is right about one thing: the “living vicariously” part. That, rather than sheer quantity of reading, is actually the critical part. Depending on what problem you are trying to understand or solve, your reading may take you the rest of your life, or be done in two years. But how you read can determine whether you become a pedantic bore who contributes nothing, or somebody who makes new contributions.
nuance::reading being a lazy habit of mind
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- Apr 2018
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publish.uwo.ca publish.uwo.caBohm.pdf1
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In his reply to Einstein,
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www.quantamagazine.org www.quantamagazine.org
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“We often discussed his notions on objective reality. I recall that during one walk Einstein suddenly stopped, turned to me and asked whether I really believed that the moon exists only when I look at it.”
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