Showing posts with label Leibniz. Show all posts
Showing posts with label Leibniz. Show all posts

Friday, June 1, 2018

Marx Wartofsky on Diderot

I wrote the following on 1 June 1015; only a few words have been changed here. I fortuitously stumbled on this today, coincidentally after reading two other works about Holbach and his circle:

Diderot has long been beloved by Marxists. Here is an interesting essay about Diderot in ...

Wartofsky, Marx W. "Diderot and the Development of Materialist Monism" (1953), in Models: Representation and the Scientific Understanding (Dordrecht, Holland; Boston: D. Reidel Publishing Company, 1979), pp. 297-337. (Boston Studies in the Philosophy of Science; v. 48. Synthese Library; v. 129.)

We see the influences of Spinoza, Maupertuis, Leibniz, La Mettrie, d'Holbach, and how Diderot transcended the limitations of idealism and mechanical materialism.

Note:
This change from inorganic to organic matter is, for Diderot, a change in the qualitative level of the organization of matter. These qualitative differentiations within the monistic chain of being characterize his monistic materialism. The aggregates that he speaks of are not merely quantitative combinations, but are qualitative levels of the organization of matter. Thus continuity and discontinuity, the unity of particularity and universality, of quantity and quality, are maintained by Diderot as characteristics of matter in motion. This is not a simple metaphysical unity, not an absolute subsuming of opposites such as we find in the celestial realm of scholasticism, or in Leibniz's monad where there is a metaphysical unity of opposites, or in the metaphysical dialectic of Schelling, but it has the characteristics of such a unity of opposites where the opposition is not merely negated or ignored, but where the very condition of the unity itself is opposition. The pre-Hegelian dialectical element is based on the essential role of process, dynamism, development. The levels are the product of a process in matter, are not preordained, are not prototypes. The flux in Diderot's universe is not a flux-in-itself, it is a flux grounded in matter, in the mode of the existence of matter: motion. Although he never systematizes this process in philosophic terms, it is an essential element in his transformism.

Friday, May 30, 2014

Spinoza, distributed rootless cosmopolitan

I have written about or documented Spinoza-related materials in various cyberlocales (this one included), and it occurs to me I should link to the relevant pages on my own sites at least, because I was not certain where to place this link to an insightful document on Spinoza's rootless cosmopolitanism:

Baruch-Benedictus: From uprooted roots to root-independent ideas? by Marcelo Dascal

This essay can be compared to Rebecca Goldstein's Betraying Spinoza, which was published at or near the beginning of a popular Spinoza revival of recent years. I wrote about this elsewhere, engaged Goldstein personally on the book talk circuit, and in an online forum. I do not recall where, offhand.  However, I began my blogging about Spinoza with . . . .

Rebecca Goldstein on the 350th Anniversary of the Excommunication of Baruch Spinoza

I followed this up with:
Newer entries show up in the current version of my Studies in a Dying Culture blog under the rubric Spinoza. The entries to date are:
There are a number of Spinoza pages on my main web site. Regardless of subject matter, they all (and also external web pages) can be accessed via my bibliography:

Spinoza & Marxism (with Basic Spinoza Web Guide)

Thursday, February 16, 2012

Paul Nizan watching the watchdogs

My introduction to Paul Nizan was via his indictment of establishment philosophy, The Watchdogs: Philosophers and the Established Order. There was one section that caught my attention at the time, which I then digitized:


Here two different types of philosophy are addressed: a purely technical philosophy, as in philosophy of science, which Nizan has no intention of opposing, and a philosophy that purports in some way to address the human condition, which Nizan indicts.

Rereading this now, I paid more attention to the text and context. An American must read the book through foreign lenses, extracting from what is dated or situation-specific that which can be learned and recalibrated to apply to our current reality.

Nizan's youthful rebellion resonates—as Sartre suggests in his Foreword to Aden, Arabie—to contemporary youth rebellions. This was a youth probably more bourgeois than any we've known, but the rebellion against the bankruptcy of bourgeois society is familiar enough, and thus Nizan's story is both relevant and limited on just those grounds.

I have extracted a few fragments from Sartre's Foreword as well as to references to Simone de Beauvoir where some combination of Sartre, Nizan, de Beauvoir, and Leibniz appears:


Returning to The Watchdogs, note that Nizan's complaint is specifically French. Nizan rebels against a specifically French generalized idealist philosophy which purports to maintain a Platonic detachment from vulgar materiality but which in fact colludes with and is supported by a grimy bourgeois reality. Related to this is the French intellectual rebellion against “humanism”, which would mean something different from what humanism concerns itself with in the anglophone world were it not for the importation of postmodernism. The French secular intellectual religion was a Cartesian hypostatization of “man”, which the left bourgeois intelligentsia of a later generation was intent to put down, a concern that ought to be irrelevant to the rest of us.

In Nizan we also find a familiar yearning to abandon the ivory tower and live a life of action fighting the bourgeois order. Toward the end of The Watchdogs we see Nizan's commitment to the French Communist Party and advocacy of the USSR, which was later to terminate with the Hitler-Stalin Pact, upon which the Communists assaulted Nizan's reputation.

In a fresh extract from this work I aim to highlight the most abstract and extensive in scope of passages illustrating Nizan's perspective:


I've made further notes on this book I hope to make publicly presentable.

Turning to Aden, Arabie, we find a comparable indictment of bourgeois society, based on disillusionment experienced in an exotic colonial locale. In addition to some interesting ruminations, Nizan's writing—in English translation—is beautiful. Here is an extract containing some interesting philosophical reflections and illustrative of Nizan's stylistic excellence:


Additional quotations and comments may be forthcoming. While I have focused on Nizan's more abstract statements, I need to emphasize that Nizan's descriptive powers should not be overlooked.

Saturday, January 28, 2012

Ludwig Feuerbach 4: Lectures

Continuing here on Feuerbach's Lectures on the Essence of Religion (1851). While all of Lecture I is available on the Marxists Internet Archive, I have added the second half of this lecture to my own web site:

Lectures on the Essence of Religion #1 (Part II: On Jakob Böhme, Spinoza, and Leibniz)

For Feuerbach, Spinoza
is the only modern philosopher to have provided the first elements of a critique and explanation of religion and theology; the first to have offered a positive opposition to theology; the first to have stated, in terms that have become classical, that the world cannot be regarded as the work or product of a personal being acting in accordance with aims and purposes; the first to have brought out the all-importance of nature for the philosophy of religion.
In contrast, here is how Leibniz is presented:
. . . the first modern German philosopher earned the honour, or dishonour, of having once again tied philosophy to the apron strings of theology. In this respect Leibniz, in his celebrated Theodicy, outdid all others. [. . . . ]Leibniz sat on the fence between the two parties, and for this very reason satisfied neither. He wished to offend no one, to hurt no one's feelings; his philosophy is a philosophy of diplomatic gallantry. Even the monads, the entities of which in his view all sensible beings consist, exert no physical influence on one another, lest any of them suffer injury.

But a man who is determined to offend no-one – even unintentionally – can have no energy, no force; for it is impossible to take a step without trampling on some creature or other, or to drink a sip of water without swallowing a quantity of small organisms. Leibniz is an intermediary between the Middle Ages and modern times; he is, as I have called him, the philosophical Tycho Brahe, but precisely because of his indecision he remains to this day the idol of all those who lack the energy to make up their minds.
I also added to my web site:

Lectures on the Essence of Religion: #2

Spinoza begins with Pierre Bayle, continues on the topic of immortality, and emphasizes the antagonism between religion and philosophy, also in opposition to Hegelianism's pretension to reconcile the two:
The more recent philosophers differ in one striking respect from their predecessors. For the earlier philosophers separated philosophy and religion and even set them in opposition, arguing that religion is grounded on divine wisdom and authority, while philosophy is grounded solely on human wisdom—or, as Spinoza put it, that religion aims solely at the advantage and welfare of man, while philosophy aims at the truth; while the most recent philosophers stand for the identity of philosophy and religion, at least as far as content and substance are concerned. It was this identity that I set out to attack. As early as 1830, when my Thoughts on Death and Immortality appeared, I found myself involved in an argument with a dogmatist of the Hegelian school, who maintained that there is only a formal difference between religion and philosophy, that philosophy merely raised to the level of the concept what religion possessed in the form of images. I replied in the following verse:
Essence itself is form. You therefore destroy the content of
Faith by destroying the image, its own appropriate form
I criticized the Hegelian philosophy for regarding the essential as nonessential and the nonessential as essential in religion. The essence of religion, I declared, is precisely what philosophy regards as mere form. 
A work deserving of special mention in this connection is a short pamphlet which appeared in 1839 under the title: On Philosophy and Christianity. Despite all attempts at compromise, I wrote, the difference between religion and philosophy is ineradicable, for philosophy is a matter of thought, of reason, while religion is a matter of emotion and imagination. But religion does not, as Hegel maintains, merely translate speculative ideas into emotionally charged images, but also contains an element that is distinct from thought, and this element is not merely its form but its very essence. This element can in one word be termed sensuousness, for emotion and imagination are also rooted in sensibility.

Saturday, October 29, 2011

Descartes' Secret Notebook (3)

Aczel, Amir D. Descartes' Secret Notebook: A True Tale of Mathematics, Mysticism, and the Quest to Understand the Universe. New York: Broadway Books, 2005. xiv, 273 pp.

Now we come to Chapter 20: Leibniz's Quest for Descartes' Secret. Leibniz was attracted to aspects of Descartes' philosophy but was seriously repelled by it as well. Leibniz was critical of Descartes' principle of doubt, suggesting that degrees of doubt rather than absolute doubt be admitted in specific cases (209).

Some of Leibniz's major interests are outlined. I note a mutual interest with Descartes in Ramón Llull's ars combinatoria (210). After three years in Paris, facing the prospect of being recalled to Hanover, Leibniz urgently pursued his aim of inspecting everything that Descartes ever wrote. On June 1, 1676 he succeeded in gaining permission to view Descartes' hidden manuscripts. Scanning the Preambles, Leibniz, a Rosicrucian, recognized an oblique reference to the Rosicrucians (213). The secret notebook, De solidorum elementis, contained obscure formulas and figures. The geometrical figures were depictions of the five Platonic solids, and a connection to mysticism was evident. Leibniz began to copy the records, recognized what was going on, and added a marginal note (219).

Descartes' notebook disappeared, and Leibniz's papers on this subject remained undetected for two centuries. Several subsequent viewers of these documents failed to crack the code. Finally, in 1987, Peter Costabel published his analysis of Leibniz's copy of Descartes' manuscript (220). Leibniz had discovered that Descartes discovered a formula that generalizes the structural characteristics of the Platonic solids (221).

Chapter 21: Leibniz Breaks Descartes' Code and Solves the Mystery. Kepler had postulated a connection between the five Platonic solids and the spacing of the six known planets. Descartes found a formula for all polyhedra, but because others would connect this with Kepler and Copernicus, and so kept it to himself (225-229). Descartes' formula F + V - E = 2 inaugurates the field of topology. Euler discovered this formula, which was named after him.

Other misfortunes befell Descartes' legacy in the 17th century, when his works were proscribed by the Catholic Church and teaching of Cartesian philosophy banned in France. It wasn't until 1824 that his works were reprinted. Adrien Baillet came close to crediting Descartes' discoveries in his biography, but not being a mathematician, did not understand Leibniz's explanation and omitted publishing the information (230). Leibniz remained obsessed and ambivalent concerning Descartes, praising him while alleging limitations. Leibniz kept in contact with Cartesian scholars (231). Leibniz was at work developing the calculus. Concerned about the priority dispute with Newton, Leibniz would not have wanted to acknowledge an influence from Descartes (234-235).

Aczel adds an epilogue to this story. Descartes is seen as the great forerunner of contemporary astrophysics, heavily dependent on geometry linked to algebraic methods. The Platonic solids are n longer relevant, but . . . but satellite data obtained in 2001 supports the notion that the geometry of the universe as a whole fits the geometry of some of the Platonic solids (238-239). One new model posits the universe as an octahedron folded onto itself. The icosahedron and dodecahedron have also served as models.

It's a somewhat peculiar final tribute to Descartes, and Descartes' whole life story is a somewhat roundabout way of getting to discussing the mysterious notebook, but the story is nonetheless interesting, and, aside from the tribute to the mathematical and scientific geniuses of the early modern world, it reveals even more the peculiarities and complexities of the Enlightenment and the scientific revolution.

Descartes' Secret Notebook (2)

Aczel, Amir D. Descartes' Secret Notebook: A True Tale of Mathematics, Mysticism, and the Quest to Understand the Universe. New York: Broadway Books, 2005. xiv, 273 pp.

Chapter 12 finds Descartes moving to Holland in 1628, meeting and eventually breaking with his friend Isaac Beeckman over claims about what Beeckman taught Descartes.

Descartes worked on his book Le Monde from 1629-1633. Descartes was a Copernican, but cancelled publication in November 1633 upon learning of Galileo's ordeal under the Inquisition. Descartes' situation was probably much safer, but he continued to steer clear of publication, fearing reprisals. Details follow.

Chapter 13 recounts Descartes' secret affair or marriage with a servant woman, Hélène Jans, which produced a daughter Francine. Descartes was devastated when Francine died in 1640 (p. 147).

Chapter 14 is devoted to Descartes' epoch-making 1637 work Discourse on the Method. Descartes' invention of analytical geometry was a revolutionary discovery. Chapter 15 details Descartes' solution to the ancient Greek mystery of doubling a cube—the Delian problem.

Chapter 16 concerns Descartes' friendship with Princess Elizabeth of Bohemia, hungry for knowledge of metaphysics, physics, and mathematics.

In Chapter 17 we find Descartes embroiled in confrontation with academics in Utrecht, chief among them Gisbert Voetius, who in opposing Cartesianism levelled the dangerous accusation of atheism. Cartesian philosophy was banned from the university. Ultimately, there was a vicious lawsuit which Descartes lost, and he had to issue a letter of apology to avoid imprisonment.

In Chapter 18 we approach the final chapter of Descartes' life, in which he is induced to come to Stockholm by Queen Christina. She lavished honors on him while others in the court were hostile. Tutoring the queen also cramped Descartes' lifestyle. Worse, as we see in Chapter 19, the Swedish climate did him in. He resisted until almost the end the quack cure of bleeding the patient, and then gave in, and then died. His last words were: "Ah, my dear Schluter, this is the time I must leave." (p. 197)

The fate of Descartes' remains is summarized here, but you can also read the whole story in Russell Shorto's Descartes’ Bones. Now we return to the story of what became of Descartes' locked box (202).This box contained copies of various correspondence and responses to critics, but also secret manuscripts—Preambles, Olympica, Democritica, Experimenta, Parnassus—and a notebook containing cryptic mathematical and other symbols. In the final installment, we shall review Leibniz's inspection of Descartes' notebook and the ultimate deciphering of the mysterious text.

Tuesday, August 30, 2011

Descartes' Bones & The Best of All Possible Worlds

I never got around to continuing my review of Russell Shorto's Descartes’ Bones: A Skeletal History of the Conflict Between Faith and Reason, nor did I ever get around to reviewing Steven Nadler's The Best of All Possible Worlds: A Story of Philosophers, God, and Evil. The former has objective content that merits attention regardless of Shorto's spin on the subject suggesting a moral for our time. Shorto is a journalist. Nadler is a serious scholar of Spinoza and of that period. Here is a paragraph I wrote on 21 July 2010:
The last two books I'm reading are about early modern philosophy: Russell Shorto's Descartes’ Bones and Steven Nadler's The Best of All Possible Worlds. The latter is about the theological-metaphysical problematic of Leibniz, Malebranche, and Arnauld. [This] . . . coincidentally dovetails with parts of the former book, which I'm still reading. Nadler refrains from drawing too many conclusions from this material, unlike Shorto, who thinks like a shallow journalist in reading today's conflict between faith and reason into the past. However, one can draw more severe conclusions from Nadler's book, should one choose to adduce the evidence presented therein to condemn Christianity—not just religion in general but Christianity in particular. I will write about this, assuming I can catch up to my proliferating ambitions.

Descartes' Secret Notebook (1)

"The sciences are now masked; the masks lifted, they appear in all their beauty. To someone who can see the entire chain of the sciences, it would seem no harder to discern them than to do so with the sequence of all the numbers. Strict limits are prescribed for all spirits, and these limits may not be trespassed. If some, by a flaw of spirit, are unable to follow the principles of invention, they may at least appreciate the real value of the sciences, and this should suffice to bring them true judgment on the evaluation of all things."

   — Réne Descartes, Preambles
Aczel, Amir D. Descartes' Secret Notebook: A True Tale of Mathematics, Mysticism, and the Quest to Understand the Universe. New York: Broadway Books, 2005. xiv, 273 pp. (The above quote can be found on pp. 38-39.)

While I recommend reading this in hard copy, you have a number of online options at your fingertips. Begin with the Publisher description. You can also read a sample text.You can read the whole book online at scribd.com. And if you have a compelling need to download yourself a pirated copy, you can also download a compressed file from Megaupload.

I've written on this blog before on the burgeoning genre of popularized history of philosophy. Often the ideas themselves are shortchanged, but the biographical narratives are compelling and vividly portray the social contexts of the times. I have been especially rewarded by a complex of books whose narratives (unintentionally) bleed into one another; they could almost be grouped as volumes in a single series:

Rebecca Goldstein, Betraying Spinoza: The Renegade Jew Who Gave Us Modernity;

Matthew Stewart, The Courtier and the Heretic: Leibniz, Spinoza, and the Fate of God in the Modern World;

Steven Nadler, The Best of All Possible Worlds: A Story of Philosophers, God, and Evil;

Russell Shorto, Descartes’ Bones: A Skeletal History of the Conflict Between Faith and Reason.

Aczel's book fits in here, too, especially as it intersects the narratives of Nadler and Shorto. While Descartes' coded secret notebook is ostensibly the subject of this book, it is in actuality a biography of Descartes, with the decoding of the notebook the climax of the tale. There are, of course, other biographies of Descartes. Here is one review:

Serfati, Michel. "Descartes, the Pioneer of the Scientific Revolution" [review of Desmond Clarke, Descartes: A Biography, Cambridge University Press, 2006], Notices of the AMS, vol. 55, no. 1, January 2008, pp. 44-49.

I have not found any awe-inspiring reviews of Aczel, but here are a few:

Book Review – Descartes’s Secret Notebook, 22 April 2009

Star Topology, 13 Jan. 2011

Descartes' Secret Notebook, Steve Zipp, 20 Jan. 2009

One interesting feature of this book is the incorporation of recent discoveries and scholarship concerning Descartes.

Aczel begins with an account of his encounter with Descartes' cryptic manuscript: actually, the original is lost, and Aczel is really looking at the insatiably curious Leibniz' transcription of Descartes' manuscript. Aczel recounts also how he came by the idea of writing this book. Then he tells the story of Leibniz's encounter with Descartes' hidden work. Some quotes from variously titled texts are adduced, along with Descartes' pseudonym Polybius. The encrypted notebook itself consisted of 16 pages, with alchemical and astrological symbols, obscure figures, and puzzling number sequences. Following this teaser, the book traces the entire course of Descartes' life.

Descartes was the progeny of a wealthy family, endowed also with a tremendous curiosity, an ability to master a variety of skills and a wide range of knowledge, with an especial brilliance in mathematics. He was particularly fascinated by Greek mathematics, and by the power and limitations of what the Greeks could construct with straightedge and compass alone. Descartes was also quite the adventurer, joining in several military escapades, apparently motivated by curiosity rather than partisanship, even taking the side of Protestants in some campaigns though he himself was a lifelong Catholic. (Descartes was a confident swordsman who on one occasion fended off a boatload of criminals he had hired who schemed to assault him and steal his money [pp. 93-95]. He also got caught up in a duel over a woman [pp. 123-125].) Because of his extraordinary ability to solve mathematical problems, Descartes befriended a Dutchman whom he met as a soldier, Isaac Beeckman. They shared a considerable range of knowledge. (Note Descartes' letters to Beeckman of March 26 and April 29, 1619 on Ramon Llull, pp. 47-48.) This is where Descartes' curiosity about mystical ideas was aroused.

Chapter 4 recounts the key dreams that inspired Descartes, his notations in the text Olympica, and the possibility of a meeting with Kepler. Chapter 5 concerns the Athenians' obstacle in doubling the size of the Apollo Temple, a mathematical problem that cannot be solved by straightedge and compass alone. The Delian Problem, as it is known, stumped the Greeks. Descartes' meditation on this problem led him to the mathematical revolution he initiated: the unification of geometry and algebra.

Chapter 6 details the key meeting with the mystic-mathematician Johann Faulhaber of Ulm. We also find a confirmation that Descartes planned to write a mathematical treatise under the pseudonym Polybius the Cosmopolitan. In his notebook Descartes used alchemical symbols used by Faulhaber (pp. 74-75). Faulhaber was interested in the Kabbalah as well as in alchemy. Descartes' solved Faulhaber's mathematical problems. While engaged in a military campaign in Prague, Descartes noted in Olympica on 11 November 1620 a great discovery (p. 79).

In the following chapter we are introduced to the Brotherhood of the Rosy Cross, or the Rosicrucians, who were cosmopolitan philosophical revolutionaries. Descartes was heavily influenced by the Rosicrucians, so much so that he had to publicly deny any such allegiance, whether or not he was covertly a Rosicrucian. (This rumor also disturbed his close friend Mersenne, a Catholic priest albeit more progressive than most.) Descartes was quite interested in occult matters, and the Rosicrucians were also leaders in mathematical and scientific investigation. Faulhaber was a Rosicrucian. Kepler at least had a Rosicrucian assistant, if he was not one himself. Leibniz, who examined Descartes' notebook, was a Rosicrucian.

I am leaving out of account several details of Descartes' life: his bon vivant lifestyle as well as his periodic retreats into solitude—in hiding even—his military adventures, his interests in women, his financial affairs, etc. The most puzzling aspect of Descartes' character is his investment but apparent detachment regarding military affairs. Aczel finally addresses this question at the end of Chapter 11, after detailing Descartes' participation as a scientific observer in the brutal siege of La Rochelle, in which the population was starved out in the course of its military defeat. Descartes had no animosity against the Huguenots, who were crushed by the Catholic power, or against Protestants in general, whom he had fought for. Aczel attempts to explain Descartes by noting that he was trained by the Jesuits and was inducted into and attracted to military order and structure. In the 17th century, war was conducted in a highly and visibly ordered manner. (pp. 129-130)

This might be one of the more telling indications of the contradictions of the birth of modernity. If I believed in the notion of "instrumental reason" as a fundamental explanatory category, here I would find a key target, as I would in the other unresolved dualities of religion and reason, occultism and science, omnipotent mind/immortal soul and mechanical body.