# In Paris Leibniz develops the differential and integral calculus notation dated to 1675–76

Date: 1675

## The fact

In 1675–76 in Paris Leibniz developed the differential and integral calculus with the dx and elongated-s notation preserved in manuscripts.

It is one event.

## Context

SEP’s calculus entry and MacTutor independently date the Paris years. Do not assign a modern computer algebra system to 1675.

[Gottfried Wilhelm Leibniz](/people/gottfried-wilhelm-leibniz)’s documented role is bounded by other offices and collaborators named in the sources below. Sharing a field with them is not a reason to drop a documented act, and it is not a reason to assign later consequences done in the name after death.

Conventional years are 1646–1716. Surviving public files are GWLB Nachlass pages, the Akademie-Ausgabe, SEP, and encyclopedias. Leibniz did not typeset those later pages. Later electronic computers are not this life.

Named person as heading of the dated public instrument. Later editors, museums, printers, or offices share publication. Complex where later carriers are the surviving public file.

## Evidence and sources

SEP’s calculus entry and MacTutor independently describe Leibniz’s 1675–76 Paris calculus manuscripts.

Official or archival record: Britannica — Gottfried Wilhelm Leibniz (https://www.britannica.com/biography/Gottfried-Wilhelm-Leibniz; Encyclopaedia Britannica).

## Significance

Education-access path. High confidence on the Paris dating.

## What is established and what is not

Established: calculus notation and methods are dated to Paris 1675–76 in the public mathematical record.

What would change the picture: a contradictory original with a different date or name, or a measured series that can be argued, with lag and alternatives, as a consequence of this instrument rather than of later institutions.

The date is the date of this instrument, not a licence to back-date every later harm or benefit.

Established here: a sourced, dated public instrument with a named contribution by Gottfried Wilhelm Leibniz.

They are not a public rating.

Gottfried Wilhelm Leibniz did not file a later UNESCO form, a later Loeb colophon, or a later museum label as a personal act. A portrait or conventional bust is not this mechanism. Allegation, reconstruction, and established occurrence stay distinct. Paris manuscripts are not Nova Methodus. Keep 1675 off the October 1684 row. Keep the carrier date of later English distinct from the received historical year stored in the date field. Do not read a later English edition as a recovered autograph of Gottfried Wilhelm Leibniz.

## People

- Gottfried Wilhelm Leibniz: https://factrail.ai/people/gottfried-wilhelm-leibniz

## Sources

- https://mathshistory.st-andrews.ac.uk/Biographies/Leibniz/
- https://www.britannica.com/biography/Gottfried-Wilhelm-Leibniz

## Methodology

https://factrail.ai/methodology

Canonical: https://factrail.ai/facts/gwl-paris-calculus-1675