removed quotes around “unrigorous”, since that word does not appear in any of the quotes in the post, and switched to a more normal word order

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edited May 17, 2022 at 12:51

user44143

Unrigorous British "unrigorous" mathematics work prior to G.H. Hardy

I was looking at a bio-movie of Ramanujan last night. Very poignant. Also impressed by Jeremy Irons' portrayal of G.H. Hardy.

In G.H. Hardy's wiki page, we read:

. . . "Hardy cited as his most important influence his independent study of Cours d'analyse de l'École Polytechnique by the French mathematician Camille Jordan, through which he became acquainted with the more precise mathematics tradition in continental Europe."

and

. . . "Hardy is credited with reforming British mathematics by bringing rigour into it, which was previously a characteristic of French, Swiss and German mathematics.[17] British mathematicians had remained largely in the tradition of applied mathematics, in thrall to the reputation of Isaac Newton (see Cambridge Mathematical Tripos). Hardy was more in tune with the cours d'analyse methods dominant in France, and aggressively promoted his conception of pure mathematics, in particular against the hydrodynamics that was an important part of Cambridge mathematics."

Are we to understand from this that up to the late 1800s, British mathematics used only partial or inductive proofs or what ?

On the face of it, this would have been quite a state of affairs.

What exactly - in general or by a specific example - did Hardy bring to mathematics by way of rigour that had previously been absent ?

If someone introduced a new and sketchily proven theorem in the days of Hardy's childhood - and we are talking about Victorian times here (...) - then surely all the mean old men of the profession would have been disapproving of it and would obstruct its publication ?

British "unrigorous" mathematics work prior to G.H. Hardy

I was looking at a bio-movie of Ramanujan last night. Very poignant. Also impressed by Jeremy Irons' portrayal of G.H. Hardy.

In G.H. Hardy's wiki page, we read:

. . . "Hardy cited as his most important influence his independent study of Cours d'analyse de l'École Polytechnique by the French mathematician Camille Jordan, through which he became acquainted with the more precise mathematics tradition in continental Europe."

and

. . . "Hardy is credited with reforming British mathematics by bringing rigour into it, which was previously a characteristic of French, Swiss and German mathematics.[17] British mathematicians had remained largely in the tradition of applied mathematics, in thrall to the reputation of Isaac Newton (see Cambridge Mathematical Tripos). Hardy was more in tune with the cours d'analyse methods dominant in France, and aggressively promoted his conception of pure mathematics, in particular against the hydrodynamics that was an important part of Cambridge mathematics."

Are we to understand from this that up to the late 1800s, British mathematics used only partial or inductive proofs or what ?

On the face of it, this would have been quite a state of affairs.

What exactly - in general or by a specific example - did Hardy bring to mathematics by way of rigour that had previously been absent ?

If someone introduced a new and sketchily proven theorem in the days of Hardy's childhood - and we are talking about Victorian times here (...) - then surely all the mean old men of the profession would have been disapproving of it and would obstruct its publication ?

Unrigorous British mathematics prior to G.H. Hardy

I was looking at a bio-movie of Ramanujan last night. Very poignant. Also impressed by Jeremy Irons' portrayal of G.H. Hardy.

In G.H. Hardy's wiki page, we read:

. . . "Hardy cited as his most important influence his independent study of Cours d'analyse de l'École Polytechnique by the French mathematician Camille Jordan, through which he became acquainted with the more precise mathematics tradition in continental Europe."

and

. . . "Hardy is credited with reforming British mathematics by bringing rigour into it, which was previously a characteristic of French, Swiss and German mathematics. British mathematicians had remained largely in the tradition of applied mathematics, in thrall to the reputation of Isaac Newton (see Cambridge Mathematical Tripos). Hardy was more in tune with the cours d'analyse methods dominant in France, and aggressively promoted his conception of pure mathematics, in particular against the hydrodynamics that was an important part of Cambridge mathematics."

Are we to understand from this that up to the late 1800s, British mathematics used only partial or inductive proofs or what ?

On the face of it, this would have been quite a state of affairs.

What exactly - in general or by a specific example - did Hardy bring to mathematics by way of rigour that had previously been absent ?

If someone introduced a new and sketchily proven theorem in the days of Hardy's childhood - and we are talking about Victorian times here (...) - then surely all the mean old men of the profession would have been disapproving of it and would obstruct its publication ?

Clarification to last sentence

Source Link

edited May 17, 2022 at 11:38

Trunk

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I was looking at a bio-movie of Ramanujan last night. Very poignant. Also impressed by Jeremy Irons' portrayal of G.H. Hardy.

In G.H. Hardy's wiki page, we read:

. . . "Hardy cited as his most important influence his independent study of Cours d'analyse de l'École Polytechnique by the French mathematician Camille Jordan, through which he became acquainted with the more precise mathematics tradition in continental Europe."

and

. . . "Hardy is credited with reforming British mathematics by bringing rigour into it, which was previously a characteristic of French, Swiss and German mathematics.[17] British mathematicians had remained largely in the tradition of applied mathematics, in thrall to the reputation of Isaac Newton (see Cambridge Mathematical Tripos). Hardy was more in tune with the cours d'analyse methods dominant in France, and aggressively promoted his conception of pure mathematics, in particular against the hydrodynamics that was an important part of Cambridge mathematics."

Are we to understand from this that up to the late 1800s, British mathematics used only partial or inductive proofs or what ?

On the face of it, this would have been quite a state of affairs.

What exactly - in general or by a specific example - did Hardy bring to mathematics by way of rigour that had previously been absent ?

If someone introduced a new and sketchily proven theorem in the days of Hardy's childhood - and we are talking about Victorian times here (...) - then surely all the mean old men of the dayprofession would have been disapproving of it and would obstruct its publication ?

I was looking at a bio-movie of Ramanujan last night. Very poignant. Also impressed by Jeremy Irons' portrayal of G.H. Hardy.

In G.H. Hardy's wiki page, we read:

. . . "Hardy cited as his most important influence his independent study of Cours d'analyse de l'École Polytechnique by the French mathematician Camille Jordan, through which he became acquainted with the more precise mathematics tradition in continental Europe."

and

. . . "Hardy is credited with reforming British mathematics by bringing rigour into it, which was previously a characteristic of French, Swiss and German mathematics.[17] British mathematicians had remained largely in the tradition of applied mathematics, in thrall to the reputation of Isaac Newton (see Cambridge Mathematical Tripos). Hardy was more in tune with the cours d'analyse methods dominant in France, and aggressively promoted his conception of pure mathematics, in particular against the hydrodynamics that was an important part of Cambridge mathematics."

Are we to understand from this that up to the late 1800s, British mathematics used only partial or inductive proofs or what ?

On the face of it, this would have been quite a state of affairs.

What exactly - in general or by a specific example - did Hardy bring to mathematics by way of rigour that had previously been absent ?

If someone introduced a new theorem in the days of Hardy's childhood - and we are talking about Victorian times here (...) - then surely all the mean old men of the day would have been disapproving of it and would obstruct its publication ?

I was looking at a bio-movie of Ramanujan last night. Very poignant. Also impressed by Jeremy Irons' portrayal of G.H. Hardy.

In G.H. Hardy's wiki page, we read:

. . . "Hardy cited as his most important influence his independent study of Cours d'analyse de l'École Polytechnique by the French mathematician Camille Jordan, through which he became acquainted with the more precise mathematics tradition in continental Europe."

and

. . . "Hardy is credited with reforming British mathematics by bringing rigour into it, which was previously a characteristic of French, Swiss and German mathematics.[17] British mathematicians had remained largely in the tradition of applied mathematics, in thrall to the reputation of Isaac Newton (see Cambridge Mathematical Tripos). Hardy was more in tune with the cours d'analyse methods dominant in France, and aggressively promoted his conception of pure mathematics, in particular against the hydrodynamics that was an important part of Cambridge mathematics."

Are we to understand from this that up to the late 1800s, British mathematics used only partial or inductive proofs or what ?

On the face of it, this would have been quite a state of affairs.

What exactly - in general or by a specific example - did Hardy bring to mathematics by way of rigour that had previously been absent ?

If someone introduced a new and sketchily proven theorem in the days of Hardy's childhood - and we are talking about Victorian times here (...) - then surely all the mean old men of the profession would have been disapproving of it and would obstruct its publication ?