Gongsun Long

This work addresses the critical discussion featured in the contemporary literature about two well-known paradoxes belonging to different philosophical traditions, namely Frege’s puzzling claim that “the concept horse is not a concept” and Gongsun Long’s “white horse is not horse”. We first present the source of Frege’s paradox and its different interpretations, which span from plain rejection to critical analysis, to conclude with a more general view of the role of philosophy as a fight against the misunderstandings that come from (...) the different uses of language (a point later developed by the “second” Wittgenstein). We then provide an overview of the ongoing discussions related to the Bai Ma Lun paradox, and we show that its major interpretations include—as in the case of Frege’s paradox—dismissive accounts that regard it as either useless or wrong, as well as attempts to interpret and repair the argument. Resting on our reading of Frege’s paradox as an example of the inescapability of language misunderstandings, we advance a similar line of interpretation for the paradox in the Bai Ma Lun: both the paradoxes, we suggest, can be regarded as different manifestations of similar concerns about language, and specifically about the difficulty of referring to concepts via language. (shrink)

The Zhiwulun, chapter 3 of the Gongsunlongzi, attributed to the Sophist Gongsun Long, is generally interpreted as a theoretical treatise on the relations between words and things. A new reading proceeds from the hypothesis that the Zhiwulun, like the White Horse Treatise, is another logical puzzle. Its theme is the problem of pointing out things that do not exist in the world or, put in modern terms, the problem of negative existentials. The Zhiwulun is a dilemma whose purpose is to (...) show that the pointing that points at things that do not exist points without pointing. (shrink)

Graham compares Kung‐sun Lung's “White Horse not Horse” [Graham, A.C. (1990) Studies in Chinese Philosophy and Philosophical Literature (Albany, SUNY Press)] loith the use of a synecdoche in English, “Sword is not Blade”. The Blade as part stands in here for the whole which is the Sword. But just as Sword as ‘hilt plus blade’ is more than blade, then via analogia, White Horse as ‘white plus horse’ is more than the part that is just ‘horse’. Graham had taken over (...) this Part/whole argument from Chad Hansen who argues that since Chinese does not require the word ma for ‘horse/horses’ to be used with prefixed articles or numerals, ma is a ‘mass‐noun’ similar to certain English mass‐nouns like ‘sand’ which also has no plural form unlike the count‐noun ‘horse’ [Hansen, Chad, (1983) Language and Logic in Ancient China (Ann Arbor, University of Michigan Press)]. Hansen then equates “White Horse is not Horse” to the Mohist argument for “Ox Horse is not Horse”. Ox‐Horse is a ‘mixed herd’ of Ox and Horse that is not (just) that part that is Horse. The same it is with the mass‐sum that is White Horse. It is like saying in English “White Sand is not Sand”. Sand being this spread of sand on the beach, it is more than just a patch of that beach that is white. But this attribution of a Part/whole logic to Kung‐sun Lung runs up against a basic dictum stated in his thesis on ‘Pointing and Thing’. There it is noted how all things can be pointed out except thing itself because the word “thing” leaves nothing to exclude for it to be stand out. Since that thesis is derived from the law of the excluded middle where a thing is either X or not X, it is not possible for Kung‐sun Lung to subscribe to a Part/whole logic which basically argues for a thing being both X and not X. (shrink)

Abstract Kung?sun Lung's thesis on ?White Horse [is] not Horse? has been solved by A. C. Graham on the basis of a part/whole logic and by Chad Hansen on that and a ?mass?noun? hypothesis. We present it as a case of reducing White Horse to its two most telling marks and then, on the basis of the good Sense (instead of Reference) in a Negative Logic?the pragmatics of locating X as the remainder left over when all non?X's have been removed?show (...) how a stable hand, receiving an order for White Horse would scan first for Horse by removing all non?horse shapes and then for White by removing all colours except White. This way we can prove how indeed ?A request for White Horse cannot be satisfied by Black and Brown that fills an order for Horse... (because) to exclude some colour [in the second scan] is not the same as to exclude yet no colour [in the first scan].? No part/whole or mass?sum is presumed. The whole discussion is set in the context of shifting criteria for judging name from Confucius to Hsun?tzu. (shrink)