China
Africa
Explore chapters and articles related to this topic
Introduction
Published in James Juniper, The Economic Philosophy of the Internet of Things, 2018
The most significant expression of Peirce’s enthusiasm for diagrams can be seen in his work on Existential Graphs (EGs). As Mary Keeler (1995) observes, “[H]e [Peirce] produces his most intensive theoretical work, which includes the Existential Graphs, during the last 10 years of his life (40.000 pages, or nearly half of the whole collection [100,000 unpublished pages which are archived in the Houghton Library at Harvard])”.3
Assertive graphs
Published in Journal of Applied Non-Classical Logics, 2018
F. Bellucci, D. Chiffi, A.-V. Pietarinen
We proceed to explain the idea of the embedded sign of assertion. Starting in 1896, Peirce began the development of a graphical notation for logic which he called the Existential Graphs (EGs; see Peirce 1896, 1897, 1898, 1902, 1903b, 1906a, 1933–1958, 1967, 2015, 2017; see also Roberts 1973; Bellucci & Pietarinen 2016, 2017; Pietarinen 2011, 2015). In the theory of logical graphs, there is no ad hoc sign of assertion. Instead, the sign of assertion is embedded in the sign of logical conjunction, which in EGs is simply juxtaposition. In EGs, the scribing of a graph on a blank sheet, called the Sheet of Assertion (hereafter, SA), corresponds to the assertion of the propositional content expressed by the graph. Thus, writing ‘A pear is ripe’ on the SA as depicted in Figure 2 means asserting the proposition that a pear is ripe. Writing two or more graphs on the SA means asserting the two or more propositions expressed by those graphs, independently of each other, that is, such writing corresponds to the assertion of the conjunction of all those propositions. Thus writing both ‘A pear is ripe’ and ‘An almond is hard’ on the SA, as in Figure 3, means asserting that a pear is ripe and that an almond is hard.