17861 | Two men do not make one thing, as well as themselves [Aristotle] |
646 | When we count, are we adding, or naming numbers? [Aristotle] |
19584 | Whoever first counted to two must have seen the possibility of infinite counting [Novalis] |
14775 | Numbers are just names devised for counting [Peirce] |
9824 | In counting we see the human ability to relate, correspond and represent [Dedekind] |
14424 | Numbers are needed for counting, so they need a meaning, and not just formal properties [Russell] |
14120 | Counting explains none of the real problems about the foundations of arithmetic [Russell] |
17424 | Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha] |
17425 | To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha] |
9898 | We can count intransitively (reciting numbers) without understanding transitive counting of items [Benacerraf] |
17903 | Someone can recite numbers but not know how to count things; but not vice versa [Benacerraf] |
4045 | Children may have three innate principles which enable them to learn to count [Goldman] |
17447 | Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck] |
17818 | How many? must first partition an aggregate into sets, and then logic fixes its number [Yourgrau] |
17822 | Nothing is 'intrinsically' numbered [Yourgrau] |
16014 | It is controversial whether only 'numerical identity' allows two things to be counted as one [Noonan] |
17812 | Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP] |
3907 | Could you be intellectually acquainted with numbers, but unable to count objects? [Scruton] |
17448 | In counting, numerals are used, not mentioned (as objects that have to correlated) [Heck] |
17456 | Counting is the assignment of successively larger cardinal numbers to collections [Heck] |
17455 | Is counting basically mindless, and independent of the cardinality involved? [Heck] |
10712 | If set theory didn't found mathematics, it is still needed to count infinite sets [Potter] |
7466 | Mesopotamian numbers applied to specific things, and then became abstract [Watson] |
15912 | Counting results in well-ordering, and well-ordering makes counting possible [Lavine] |
17694 | Some non-count nouns can be used for counting, as in 'several wines' or 'fewer cheeses' [Laycock] |
17695 | Some apparent non-count words can take plural forms, such as 'snows' or 'waters' [Laycock] |
23460 | To count, we must distinguish things, and have a series with successors in it [Morris,M] |
23451 | Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M] |
23452 | Discriminating things for counting implies concepts of identity and distinctness [Morris,M] |
17439 | There is no deep reason why we count carrots but not asparagus [Koslicki] |
17433 | We can still count squares, even if they overlap [Koslicki] |
17462 | A single object must not be counted twice, which needs knowledge of distinctness (negative identity) [Rumfitt] |