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What does it mean by “d-ism of Leibniz” and “dotage of Newton” in simple English?
Did Gauss say “there have been but three epoch-making mathematicians, Archimedes, Newton and Eisenstein”?How did Newton and Kepler (actually) do it?What kind of mathematical education did Leibniz have?Felix Klein and the mean value theoremIs there any complete works of Abel, Lagrange, Jacobi and Gauss translated into English?Newton , Binomial Series and Power Series , and James GregoryBest books/papers on Newton and his mathematical physicsAbsolute space and time before NewtonDoes an English translation of Bombelli's L'Algebra exist?Was English mathematics behind Europe by many years because of Newton's notation?
$begingroup$
I am reading this article by Donald E. Knuth and get stuck by this sentence:
Our mathematical language continues to improve, just as “the d-ism of
Leibniz overtook the dotage of Newton” in past centuries.
I know I can get some hints from the reference 4 but I don't think I can fathom the history clearly. Could anyone please help explain what that means in simple English? Thanks in advance.
mathematicians newton leibniz
asked 8 hours ago
Lerner ZhangLerner Zhang
1163
New contributor
Lerner Zhang is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
I am reading this article by Donald E. Knuth and get stuck by this sentence:
Our mathematical language continues to improve, just as “the d-ism of
Leibniz overtook the dotage of Newton” in past centuries.
I know I can get some hints from the reference 4 but I don't think I can fathom the history clearly. Could anyone please help explain what that means in simple English? Thanks in advance.
mathematicians newton leibniz
asked 8 hours ago
Lerner ZhangLerner Zhang
1163
New contributor
Lerner Zhang is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
$begingroup$
It means their notations for derivatives, $fracdxdt$ vs $dotx$, Leibniz's notation is generally seen as more facile. I am not sure it "overtook" Newton's shorthand though, both are still commonly used.
$endgroup$
– Conifold
3 hours ago
$begingroup$
It is interesting that European authors still use the dot to indicate time derivatives.
$endgroup$
– M. Farooq
3 hours ago
add a comment |
$begingroup$
I am reading this article by Donald E. Knuth and get stuck by this sentence:
Our mathematical language continues to improve, just as “the d-ism of
Leibniz overtook the dotage of Newton” in past centuries.
I know I can get some hints from the reference 4 but I don't think I can fathom the history clearly. Could anyone please help explain what that means in simple English? Thanks in advance.
mathematicians newton leibniz
asked 8 hours ago
Lerner ZhangLerner Zhang
1163
New contributor
Lerner Zhang is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
I am reading this article by Donald E. Knuth and get stuck by this sentence:
Our mathematical language continues to improve, just as “the d-ism of
Leibniz overtook the dotage of Newton” in past centuries.
I know I can get some hints from the reference 4 but I don't think I can fathom the history clearly. Could anyone please help explain what that means in simple English? Thanks in advance.
mathematicians newton leibniz
mathematicians newton leibniz
asked 8 hours ago
Lerner ZhangLerner Zhang
1163
New contributor
Lerner Zhang is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 8 hours ago
Lerner ZhangLerner Zhang
1163
New contributor
Lerner Zhang is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 8 hours ago
Lerner ZhangLerner Zhang
1163
New contributor
Lerner Zhang is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 8 hours ago
Lerner ZhangLerner Zhang
1163
asked 8 hours ago
Lerner ZhangLerner Zhang
1163
1163
New contributor
Lerner Zhang is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Lerner Zhang is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$begingroup$
It means their notations for derivatives, $fracdxdt$ vs $dotx$, Leibniz's notation is generally seen as more facile. I am not sure it "overtook" Newton's shorthand though, both are still commonly used.
$endgroup$
– Conifold
3 hours ago
$begingroup$
It is interesting that European authors still use the dot to indicate time derivatives.
$endgroup$
– M. Farooq
3 hours ago
add a comment |
$begingroup$
It means their notations for derivatives, $fracdxdt$ vs $dotx$, Leibniz's notation is generally seen as more facile. I am not sure it "overtook" Newton's shorthand though, both are still commonly used.
$endgroup$
– Conifold
3 hours ago
$begingroup$
It is interesting that European authors still use the dot to indicate time derivatives.
$endgroup$
– M. Farooq
3 hours ago
$begingroup$
It means their notations for derivatives, $fracdxdt$ vs $dotx$, Leibniz's notation is generally seen as more facile. I am not sure it "overtook" Newton's shorthand though, both are still commonly used.
$endgroup$
– Conifold
3 hours ago
$begingroup$
It means their notations for derivatives, $fracdxdt$ vs $dotx$, Leibniz's notation is generally seen as more facile. I am not sure it "overtook" Newton's shorthand though, both are still commonly used.
$endgroup$
– Conifold
3 hours ago
$begingroup$
It is interesting that European authors still use the dot to indicate time derivatives.
$endgroup$
– M. Farooq
3 hours ago
$begingroup$
It is interesting that European authors still use the dot to indicate time derivatives.
$endgroup$
– M. Farooq
3 hours ago
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
It is a play of words by Charles Babbage. Deism was a religious belief or rather a movement promoting the idea that God exists but it does not interfere with whatever happens in this world. Now, Babbage writes d-ism which sounds the same, but now the reference is Liebniz who was one of the founders of calculus (there was a major controversy whether Newton invented calculus or Liebniz). We still use his d's in differential calculus. This notations was from Liebniz. Netwon on the other hand was using dots in his calculations for symbolic purposes. Dotage also means someone who has lost his mind. Basically, the writer is making fun of Newton, who is an Englishman himself, and asking his peers to adopt the symbolism of Liebniz.
Google Books, The Methodist Review
answered 8 hours ago
M. FarooqM. Farooq
814214
$endgroup$
add a comment |
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1 Answer
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$begingroup$
It is a play of words by Charles Babbage. Deism was a religious belief or rather a movement promoting the idea that God exists but it does not interfere with whatever happens in this world. Now, Babbage writes d-ism which sounds the same, but now the reference is Liebniz who was one of the founders of calculus (there was a major controversy whether Newton invented calculus or Liebniz). We still use his d's in differential calculus. This notations was from Liebniz. Netwon on the other hand was using dots in his calculations for symbolic purposes. Dotage also means someone who has lost his mind. Basically, the writer is making fun of Newton, who is an Englishman himself, and asking his peers to adopt the symbolism of Liebniz.
Google Books, The Methodist Review
answered 8 hours ago
M. FarooqM. Farooq
814214
$endgroup$
add a comment |
$begingroup$
It is a play of words by Charles Babbage. Deism was a religious belief or rather a movement promoting the idea that God exists but it does not interfere with whatever happens in this world. Now, Babbage writes d-ism which sounds the same, but now the reference is Liebniz who was one of the founders of calculus (there was a major controversy whether Newton invented calculus or Liebniz). We still use his d's in differential calculus. This notations was from Liebniz. Netwon on the other hand was using dots in his calculations for symbolic purposes. Dotage also means someone who has lost his mind. Basically, the writer is making fun of Newton, who is an Englishman himself, and asking his peers to adopt the symbolism of Liebniz.
Google Books, The Methodist Review
answered 8 hours ago
M. FarooqM. Farooq
814214
$endgroup$
add a comment |
$begingroup$
It is a play of words by Charles Babbage. Deism was a religious belief or rather a movement promoting the idea that God exists but it does not interfere with whatever happens in this world. Now, Babbage writes d-ism which sounds the same, but now the reference is Liebniz who was one of the founders of calculus (there was a major controversy whether Newton invented calculus or Liebniz). We still use his d's in differential calculus. This notations was from Liebniz. Netwon on the other hand was using dots in his calculations for symbolic purposes. Dotage also means someone who has lost his mind. Basically, the writer is making fun of Newton, who is an Englishman himself, and asking his peers to adopt the symbolism of Liebniz.
Google Books, The Methodist Review
answered 8 hours ago
M. FarooqM. Farooq
814214
$endgroup$
It is a play of words by Charles Babbage. Deism was a religious belief or rather a movement promoting the idea that God exists but it does not interfere with whatever happens in this world. Now, Babbage writes d-ism which sounds the same, but now the reference is Liebniz who was one of the founders of calculus (there was a major controversy whether Newton invented calculus or Liebniz). We still use his d's in differential calculus. This notations was from Liebniz. Netwon on the other hand was using dots in his calculations for symbolic purposes. Dotage also means someone who has lost his mind. Basically, the writer is making fun of Newton, who is an Englishman himself, and asking his peers to adopt the symbolism of Liebniz.
Google Books, The Methodist Review
answered 8 hours ago
M. FarooqM. Farooq
814214
answered 8 hours ago
M. FarooqM. Farooq
814214
answered 8 hours ago
M. FarooqM. Farooq
814214
answered 8 hours ago
M. FarooqM. Farooq
814214
814214
add a comment |
add a comment |
Lerner Zhang is a new contributor. Be nice, and check out our Code of Conduct.
Lerner Zhang is a new contributor. Be nice, and check out our Code of Conduct.
Lerner Zhang is a new contributor. Be nice, and check out our Code of Conduct.
Lerner Zhang is a new contributor. Be nice, and check out our Code of Conduct.
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$begingroup$
It means their notations for derivatives, $fracdxdt$ vs $dotx$, Leibniz's notation is generally seen as more facile. I am not sure it "overtook" Newton's shorthand though, both are still commonly used.
$endgroup$
– Conifold
3 hours ago
$begingroup$
It is interesting that European authors still use the dot to indicate time derivatives.
$endgroup$
– M. Farooq
3 hours ago