**Logicism** is an **early 20th Century** philosophical and mathematical movement, initially developed in the **late 19th Century** by the German mathematician and logician Gottlob Frege. It is based on the premise that **mathematics** is just an **extension** of Logic, and therefore that some or all mathematics is **reducible** to logic. It effectively holds that mathematical theorems and truths are **logically necessary** or **analytic**. For more details, see the section on the doctrine of Logicism.

Although the movement was **fathered** by Gottlob Frege, he later **abandoned** it after Bertrand Russell pointed out a **paradox** exposing an inconsistency in Frege's **naive set theory**. The **Incompleteness Theorems** of **Kurt Gödel** (1906 - 1978), which point out the **limitations** of all but the most trivial **formal** mathematical systems, also impacted on the **credibility** of Logicism to some extent.

Russell and Alfred North Whitehead, however, continued to champion the theory in their ground-breaking *"Principia Mathematica"*, which was published in 1910 - 1913. None of these early proponents actually used the **term** "logicism", which was only applied retroactively.

There were subsequent attempts, known as **Neo-Logicism**, to resurrect Frege's theory through the use of Frege's own **Hume's Principle**. The British philosopher **Crispin Wright** (1942 - ) was a strong advocate.

Logicism, along with Logical Positivism, was key in the development of the Analytic Philosophy movement later in the 20th Century.