Topic: Liebniz
Khan's photo
Wed 12/01/21 11:53 AM
What do you think Liebniz ?

Mike's photo
Thu 12/02/21 07:21 AM
What are you talking about? Why the silly riddle?

Tom4Uhere's photo
Thu 12/02/21 10:08 AM
Gottfried Wilhelm Leibniz was a German polymath active as a mathematician, philosopher, scientist, and diplomat. He is a prominent figure in both the history of philosophy and the history of mathematics. He wrote works on philosophy, theology, ethics, politics, law, history, and philology.
Born: July 1, 1646, Leipzig, Germany
Died: November 14, 1716, Hanover, Germany


I don't.
He died over 300 years ago. Never heard of him till you started this thread.
I imagine most of his contribution no longer applies to living in 2022.

As for philosophies, I don't try to adopt other's philosophies. My philosophy is that which works for me. I don't really care what some old dude from a long gone era thought about. Sometimes my own philosophies align with many old ones which conflict each other in details.

While I may agree with certain parts of Plato, Socrates, Malthus or Lao Tzu I can't entirely agree with any to the point of adopting their philosophy.
Mysteriously, I have found some of my own philosophy has aligned with historic philosophers in certain aspects after the fact. This tells me some of my philosophies make 'common' sense.

jaish's photo
Thu 12/02/21 05:23 PM
Edited by jaish on Thu 12/02/21 05:28 PM
Leibniz - Co-founder of Calculus

He graduated as a Lawyer and published a book on International Law for his Germanic King - later King George IV or V of England

Georgie banned Leibniz from re-entering England because of the English clamor around Newton as the inventor of Calculus
and the claim that Leibniz was an imposter

Story goes that:
He took up mathematics late in life,
after coming across Pascal's mechanical adding machine and expanding it to include multiplication, division and square roots

While displaying his 'calculator' in London he came across McGregor's analysis of the Hyperbola
i.e., method to calculate area under the Hyperbola

Leibniz was fascinated and rushed to Christian Huygens - the Pendulum clock inventor - and requested a crash course in mathematics.

From there on - flowed Europe's calculus
(The English / Newton Calculus was not published till after Leibniz's work. Although Newton's Principia was published with some hint of Calculus. Newton Calculus remained a secret till after his death)

On the other hand, Leibniz's friend and associate Bernoulli further refined Calculus and the first textbooks were published with support of L'Hospital in late 1600

The familiar notation dx/dy is preferred in our textbooks over Newton's dot over 'x'

Leibniz showed the unification of Integration and Differentiation, the Chain Rule ...
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The differences are on the applications

Newton applied Calculus to confirm Kepler's Laws of Planetary Motion

Leibniz / Bernoulli applied it to motion of fluids Leibniz tried to formulate kinetic energy of fluid in motion and came closer to formulating it

(There maybe some errors in the above and I appreciate any corrections).

Story ends with: Leibniz died in poverty / buried in an unmarked grave.

===

What do I think of Leibniz?

I don't know. So many thoughts, all positive; to sift through.






Rock's photo
Sun 12/05/21 12:40 PM
A name and history, that aren't taught
anywhere in the U.S. cumbaya educational
systems. But, should be.

Rod's photo
Sun 12/05/21 10:38 PM
I think I better roll another joint.

jaish's photo
Sun 12/05/21 11:09 PM

A name and history, that aren't taught
anywhere in the U.S. cumbaya educational
systems. But, should be.


Source 'Men of Mathematics' - E.T. Bell (American)

Interestingly, Bell also mentions Blaise Pascal's achievements including the Binomial Theorem; as overshadowed by Newton's compendium.

This because, as Newton himself pointed out, Pascal's use of the 'Rule or Law of Induction' in Math which led to Pascal's Binomial Theorem - as a powerful indisputable Rule of reasoning ...,

'also in Philosophies of Nature, (Physics) '.

Newton had, during his early twenties, (during the Plague 1666) already applied 'Induction' to get to the Binomial Series; preliminary step or one of alternate path to Calculus.

Surprisingly, the French regard Pascal's philosophical works as his greatest contribution.
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- Leibniz and his associates - as per Bell, were instrumental in developing the language of calculus which by itself had algebraic fall outs - like the chain rule.
---

Newton has / had been criticized heavily and for this reason he did not publish several papers including the one on his Calculus. What is available on Net - is a minor work by his friend Collins.

When we say, there's more, here's an example. As Pres. of Royal Society, he encouraged experiments and one of them was the invention / development of the 'pressure cooker' - which gives a twist - as this cooker cylinder was the fore-runner of steam boiler drum / a cylinder with safety valves - leading to the next step of steam engines and so on. As mentioned, history brings to life all these.

Also, so many frags - makes me curious - what OP had in mind.

no photo
Sun 05/01/22 05:43 PM
Biscuits are decent to be fair - I think the Orange spin off is the biscuit I’ve enjoyed the most from the range - if I had a criticism it would be that the biscuit is slightly too waxy if you put them in the fridge - just got to find that ideal temperature to unlock the full potential - great thread! Where do we go next? Who can we call in as the doyen on biscuits here