ontological
proof of the existence of-
Good, 252
Grammar, 6f.
Good, 252
Grammar, 6f.
Gottlob-Frege-Posthumous-Writings
plus sign), 12, 48, 50f.
, 86, 188, 200,
227ff.
Antecedent (v. condition), 19, 152fT. , 186fT. ,
199, 253f.
Antinomy (v. paradox), 176, 182
Aristotle, 15 ,
Arithmetic, 13,222, 237f. , 242, 256f. , 275fT.
equality sign in -, v. equals sign
formula-language of -, v. language
use of letters in-, v. letter Art, work of, 126, 130fT. , 139 Article
formula-
definite -, 94f. , lOOfT. , 114f. , 122, 163, 178fT. , 182, 193, 213, 239, 249, 269f. , 272f.
indefinite-, 94, 104, 120,237
Assert, assertion (v. statement), 2, 20, 52,
129, 139, 149, 251 Assertion
-(s) in fiction (v. fiction), 130
Assertoric force, 168, 177, 185, 198f. , 233f. ,
251, 261 Associative law, 38
Associationofideas, 126,131, 144f. , 174 Auxiliary (v. copula), 62f. , 91
- object, 206f.
Axiom, 203, 205fT. , 209f. , 244, 248
-(s) of geometry, ! 68f. , 170fT. , 247f. , 273, 278
'Beautiful', sense of (v. true), 126, 128, 13lf. , 252
Beauty, judgements of, 126, 13lf. Begri! Jsschrlft, 9fT. , 47fT. , 198
? Being (v. copula), 59, 61f. , 64, 65f. Berkeley, 105
Biermann, 0. , 70, 72fT.
Boole, 9fT. , 47fT.
Cantor, 68fT.
Calculus ratiocinator, 9fT.
Cause, psychological, v. ground Characteristic mark, 101fT. , 111fT. , 229 Chemistry, analysis in, 36f.
Class, 10, lSf. , 34,184
Clause (subordinate), 168, 198 Colouring, v. thought
Common name, 123f.
Complete (v. saturated/unsaturated)
meaning that is - in itself, 119 Commutative law, 38
Concavity (v. generality), 20f.
Concept, 17f. , 32fT. , 87fT. , 118fT. , 154, 184,
193, 214, 234, 238f. , 243
empty -(s), 124, 179f.
-(s) equal in extension, 1Sf. , 118, 121f. ,
182
-(s) equal in number, 72
--expression, v. concept-word
extension of -(s), 106, 118fT. , 181fT. , 184 falling of a concept under a higher -, 93,
108, 110fT.
falling of an object under a -, 18, 87fT. ,
118, 123f. , 179, 182f. , 193, 213f. , 228,
237,243,254,263,265,279 first/second level-, 108, 110fT. , 250, 254 mark of a - , v. characteristic mark
-(s) must have sharp boundaries, 152fT. ,
19Sf. , 229f. , 241, 243f.
--name, v. concept-word
negative-, 17
--sign, v. concept-word
subordination of -(s), 15, 18, 63, 91, 93,
97, 112, 181f. , 186, 193, 213,254 unsaturated nature of -(s), 87fT. , 119fT. ,
- of axioms, 247
-of a concept, 179fT. Constant, 161 Content, 12, 85
possible - of judgement, 11, 46, 47f. , 51, 99
-of a sentence, 197f.
--stroke, 11, 39, 52
Continuum, 276
Contraposition, 153f.
Copula, 62fT. , 90fT. , 113, 174, 177,237,240 Czuber, E. , 160fT.
Darmstaedter, L. , 253fT.
Dedekind, 127, 136
Deduction-sign (Peano's), 152fT.
Definition, 69f. , 88f. , 96, 102, 152fT. , 203,
207fT. , 215, 217, 222f. , 240,244, 248f. ,
256f. , 270f. analytic-, 210f.
- o f a concept, 228f. conditional -, 230 constructive-, 21Of. piecemeal-, 243
- of a relation, 230f.
Demonstrative pronoun, 178fT. , 213 Denial, v. negation
Descartes, 203
Designate, v. sentence-part, sign -deutig, 123f.
Discipline (v. science), 203 Distinction, 142
Division, logical, 48
Each (v. all), 63
Empiricism, 105
Empty places (argument-places) (v. func-
tion), 119, 121 Endpoint, 280f.
Epistemology, 3
Equality in number (of concepts), 72
Equals sign, 86, 91, 165, 222fT. , 226, 228,
236f.
Boole's -, 15, 35fT. , 48f. , 52
Equation (v. identity), 46, 121, 182 logical-, 113, 115
Equipollence, 197
Equivocal (v. ambiguous), 123f.
Error, 132
Ethics, 4, 128, 252
Euclid, 169, 205,206,247
Everything, 188
Evolution, theory of, 4, 174
Existence (v. 'there is', being), 53fT. , 101,
107
Existential judgement, 14, 20, 55, 63, 66,
254 Experience, 53fT.
object of-, 65 Explanation, 36
177f. , 228
widening of -(s), 242
- - w o r d , 118, 176fT. , 201,
213f. , 229f. , meaningless/meaningful-, 122fT. , 180f.
234, 240f. , 243
Concept-script (v. Begriffsschrift), 6, 9fT. , 47fT. , 67, 142, 184, 188, 195,253 primitive laws of-, 37, 39fT. , 46, 50
primitive signs of-, 36, 46, 48f. , 50 Condition (v. antecedent), 38, 41fT. , 152fT. ,
163,200
Conditional stroke, 11f. , 35fT. , 52, 152fT. ,
186f. , 188 Congruent, v. triangles
Congruent to a modulus, 22 Conjunction (v. and), 188f. , 191 Consequence, v. condition Consequent, v. condition Consistency
Index 283
? 284 Index
Extension? , v. concept
Extensionalist logicians v. intensionalist/
extensionalist logicians
Factor (common), 22 Fallacy, 34f. , 143, ! 55
False (v. true), 127, 138, 149
the-, 195, 233, 255
reject as-, 8, 149, 185, 197f.
Feeling, 129, 198
Fick, A. , 17
Fiction, 118, 122, 129f. , 191fT. , 225, 232,
269 Fischer, K. , 84
Following (in a series), 22, 38
Formal arithmetic, 165, 215, 273f. , 275 Formula-language
- of algebra, 2, 6
- of arithmetic, 13f. , 142
- Boole's logical-, 13fT. , 47fT. - ofgeometry, 13
- o f mathematics, 13f. , 47, 270
Function, 24fT. , 119, 155f. , 157fT. , 184, 195, 234f. , 238fT. , 270fT.
argument, argument-place, of a -, 119, 121, 154fT.
- of one, of two, of three arguments, 240fT. , 244, 250
continuous -, 24f.
--letter (v. letter), 121, 154, 156,272 --sign (--name) 119, 234, 239fT. , 243f. ,
271f.
unsaturatedness of a -, 97fT. , 119, 156,
254,272
value of a-, 119, 235, 238f.
Gauss, 280
Generality, 11, ! BIT. , 52, 153fT. , IG2, 187fT. ,
194f. , 199fT. , 230f. , 236fT. , 258fT. , 272 - of an equation between functions, 121 notation for -, 18fT.
Generalization, 191
Geometry (v. sources of knowledge), 170fT. ,
273f. , 277, 278fT. Euclidean/non-Euclidea'l-, 167fT.
God, v.
ontological proof of the existence of-
Good, 252
Grammar, 6f. , 141fT. , 146f. Grassmann, R. , 34 Ground, liT. , 147
Heine, E. , 164
Here, 135
Hereditary property, 28 Hilbert, 170fT. , 247fT. History, 258
historical/ahistorical -, 3 Husserl, 123f. ' Hypothetical
-judgement, 15, 52, 185, 198
- sentence [conditional sentence], 153f. ,
185, 188, 198fT. , 258fT. -thought, 188f. , 200,258, 261
I (v. affectionoftheego), 127,135
Idea (v. image, representation, association of - s ) , 54fT. , 73fT. , 104f. , 126fT. , 139f. ,
143fT. , 148, 174, 198 act of forming an -, 57 object of an-, 56fT. , 64f. -ofan-, 57
Idealism, 105, 130, 143f. , 232 Identity (v. equals sign, equation)
If
law of-, 62
relation of-, l2lf. , 182 sign of-, 10,226, 237, 240
. . . then . . . (v. hypothetical sentence), 153, 189fT.
Illustrative examples, 207, 214, 235 Image, 58, 74
Indefinitely indicating (v. letter)
- sentence-part, v. sentence-part
-sign, v. sign
Individual (thing), 213
Induction (mathematical), 31, 203
Inference (v. fallacy), 15, 27, 34f. , 118, 175,
180, 203fT. , 212, 244fT. , 261
chain of-(s), 204
- from the general to the particular,
258fT. , 272
laws of actual- /laws of correct-, 3fT.
Infinite, 273f. , 279 absolute-, 68f. actual-, 68f. potential-, 68f.
Inner perception, 58
Integral, definite, 15 7f. lntensionalist/Extensionalist logicians, 118,
122f. Interjection, 135, 140
Intuition, 32, 58, 2 78 Is, v. copula
[as expression of existence], 53, 62, 63f.
[as expression of identity], 90fT. , 113fT. It,62, 190,260
Jevons, W. S. , 10, 35f. , 48
Judgement, ! IT. , 7, 11, 16f. , 45f. , 47, 51f. ,
59f. , 119, 139, 149, 151, 185, 194,
197fT. , 251, 253f. , 267 aesthetic-, 126f. , 131f.
content of possible-, v. content hypothetical-, v. hypothetical particular-, v. particular singular-, v. singular --stroke,! ! , 18fT. , 51f. , 195,198
1urisprudence, 203
Justification (v. judgement, ground), 2ff. ,
147, 175
? Kant, 203
Kerry, B. , 87fT.
Knowledge (v. recognition)
-a priori, 277
geometrical source of-, 277, 278fT. sources of- (v. sense perception), 266fT. temporal source of-, v. time
Korselt, A. , I77
Language (v. meta-, formula-language), 67, 192f. , 213, 225,243, 259fT. , 269fT.
changes in-, 141
logic and-, v. logic
logical imperfections of-, 117, 143, ! 49,
177fT. , 190,193,252,266 being misled by-, 263, 266, 269fT. ordinary-, 136f. , 207, 213
poetic use of-, 139f. printed/spoken-, 13, 46,260 verbal-, v. verbal
Law (v. associative-), 145ff. , 258.
-(s) of being true/holding true, v. true
-(s) of correct inference/actual inference
v. inference
- o f excluded middle, 155, 186, 195, 198 - o f identity, 62
-(s) ofjudgement, 145fT.
-(s) of logic, v. logic
natural-(s), v. natural
primitive -(s) (of the concept-script), v.
concept-script
-(s) of thought, v. thought
Leibniz, 9f. , 13, 33, 35, 47f. , 203,253
Letter (v. function, object), 152fT. , 162fT. ,
188, 193, 199fT. , 260fT.
use of -(s) in arithmetic and mathematics
162fT. , 194f. , 200f. , 235fT. , 272 , Lettre variable, 152fT.
Limit, 25 receding-, 69
Line, 280f.
intersection of two -(s), 281
Lingua characterica, 9, 12f.
Locke, 105
Logic (v. psychology, intensional/exten-
sional), 1fT. , 96, 125, 126fT. , 136, 141fT. ,
174f. , 179, 185, 198, 203,252, 253f.
- and language, 6f. , 13, 94fT. , 136f. ,
141fT. , 188, 190,252, 266, 269fT. Aristotelian -, 15
laws of-, 3fT. , 47, 122, 145fT. Peano's mathematical-, ! 52
psychological 147fT.
conception
o f
- ,
142fT. ,
Logical
- analysis, 208fT.
- source of knowledge, 267fT.
Mathematics (v. analysis, arithmetic, formula-language, geometry), 157fT. ,
16. 5, 203fT. ? 242, 253, 277
Index 285 -in education, 221f.
functions in-, 254, 270fT.
use of letters in-, v. ? ~tter
-and philosophy, 203,216, 273f. psychological considerations in-, 76fT. sources of knowledge of-, 267fT. , 278fT. - as a system, 205f. . 211, 242fT.
McColl, H. , 15
Mean [bedeuten], 91,96
Meaning [reference], 90, 99, 113fT. , 118fT. ,
192fT. , 229fT. , 243, 255f. simplicity of-, 49
Mer. ningless, v. concept, proper name Meeting of minds, 207, 271 Meta-language/object-language, 260fT. Mill, J. S. , 79
Mock
- assertion, 126, 130 - propername,130
- thought, 130
Multiple
COII'mOn-, 22
least common-, 24 -of a number, 22fT. , 27
Multiplication (product), logical, 33f. , 38, 46,49
-sign (logical), 48, 52
Name (v. concept, function, proper name) 123f. ,
Natural
-laws, 4f. , 127, 129, 131, 133, 137f. , 145,
258, 268
- sciences, 3, 130, 267fT.
Negation (denial), 15, 48fT. , 55, 149fT. , 185 198,253 ,
double-, 149
--stroke, 11, 20f. , SOfT.
Negative concept, v. concept
Neither . . . nor . . . , 51
Newton, 203
No, ISO, 213
Nomen appellativum, v. concept-word Nomen proprium, v. proper name
None, 63
Nonsense, 182
Normal human being, 132, 147f.
Now, 135
Number, 34, 55, 57, 70f. , 72fT. , 106f. , 215fT. ,
253, 256f. , 263f. , 265f. , 273f. , 275fT. ,
279fT.
complex -(s), 279fT. determinate/indeterminate-, 160fT. existence ofa-, 55, 57
Gaussian - plane, 280 kindergarten -(s), 276f.
logical foundation for -(s), 269 natural -, 72
positive rational -, 23
? 286
Number-continued
positive whole-, 22
real-, 279
-(s) as sets, 269
- -signs, v.
227ff.
Antecedent (v. condition), 19, 152fT. , 186fT. ,
199, 253f.
Antinomy (v. paradox), 176, 182
Aristotle, 15 ,
Arithmetic, 13,222, 237f. , 242, 256f. , 275fT.
equality sign in -, v. equals sign
formula-language of -, v. language
use of letters in-, v. letter Art, work of, 126, 130fT. , 139 Article
formula-
definite -, 94f. , lOOfT. , 114f. , 122, 163, 178fT. , 182, 193, 213, 239, 249, 269f. , 272f.
indefinite-, 94, 104, 120,237
Assert, assertion (v. statement), 2, 20, 52,
129, 139, 149, 251 Assertion
-(s) in fiction (v. fiction), 130
Assertoric force, 168, 177, 185, 198f. , 233f. ,
251, 261 Associative law, 38
Associationofideas, 126,131, 144f. , 174 Auxiliary (v. copula), 62f. , 91
- object, 206f.
Axiom, 203, 205fT. , 209f. , 244, 248
-(s) of geometry, ! 68f. , 170fT. , 247f. , 273, 278
'Beautiful', sense of (v. true), 126, 128, 13lf. , 252
Beauty, judgements of, 126, 13lf. Begri! Jsschrlft, 9fT. , 47fT. , 198
? Being (v. copula), 59, 61f. , 64, 65f. Berkeley, 105
Biermann, 0. , 70, 72fT.
Boole, 9fT. , 47fT.
Cantor, 68fT.
Calculus ratiocinator, 9fT.
Cause, psychological, v. ground Characteristic mark, 101fT. , 111fT. , 229 Chemistry, analysis in, 36f.
Class, 10, lSf. , 34,184
Clause (subordinate), 168, 198 Colouring, v. thought
Common name, 123f.
Complete (v. saturated/unsaturated)
meaning that is - in itself, 119 Commutative law, 38
Concavity (v. generality), 20f.
Concept, 17f. , 32fT. , 87fT. , 118fT. , 154, 184,
193, 214, 234, 238f. , 243
empty -(s), 124, 179f.
-(s) equal in extension, 1Sf. , 118, 121f. ,
182
-(s) equal in number, 72
--expression, v. concept-word
extension of -(s), 106, 118fT. , 181fT. , 184 falling of a concept under a higher -, 93,
108, 110fT.
falling of an object under a -, 18, 87fT. ,
118, 123f. , 179, 182f. , 193, 213f. , 228,
237,243,254,263,265,279 first/second level-, 108, 110fT. , 250, 254 mark of a - , v. characteristic mark
-(s) must have sharp boundaries, 152fT. ,
19Sf. , 229f. , 241, 243f.
--name, v. concept-word
negative-, 17
--sign, v. concept-word
subordination of -(s), 15, 18, 63, 91, 93,
97, 112, 181f. , 186, 193, 213,254 unsaturated nature of -(s), 87fT. , 119fT. ,
- of axioms, 247
-of a concept, 179fT. Constant, 161 Content, 12, 85
possible - of judgement, 11, 46, 47f. , 51, 99
-of a sentence, 197f.
--stroke, 11, 39, 52
Continuum, 276
Contraposition, 153f.
Copula, 62fT. , 90fT. , 113, 174, 177,237,240 Czuber, E. , 160fT.
Darmstaedter, L. , 253fT.
Dedekind, 127, 136
Deduction-sign (Peano's), 152fT.
Definition, 69f. , 88f. , 96, 102, 152fT. , 203,
207fT. , 215, 217, 222f. , 240,244, 248f. ,
256f. , 270f. analytic-, 210f.
- o f a concept, 228f. conditional -, 230 constructive-, 21Of. piecemeal-, 243
- of a relation, 230f.
Demonstrative pronoun, 178fT. , 213 Denial, v. negation
Descartes, 203
Designate, v. sentence-part, sign -deutig, 123f.
Discipline (v. science), 203 Distinction, 142
Division, logical, 48
Each (v. all), 63
Empiricism, 105
Empty places (argument-places) (v. func-
tion), 119, 121 Endpoint, 280f.
Epistemology, 3
Equality in number (of concepts), 72
Equals sign, 86, 91, 165, 222fT. , 226, 228,
236f.
Boole's -, 15, 35fT. , 48f. , 52
Equation (v. identity), 46, 121, 182 logical-, 113, 115
Equipollence, 197
Equivocal (v. ambiguous), 123f.
Error, 132
Ethics, 4, 128, 252
Euclid, 169, 205,206,247
Everything, 188
Evolution, theory of, 4, 174
Existence (v. 'there is', being), 53fT. , 101,
107
Existential judgement, 14, 20, 55, 63, 66,
254 Experience, 53fT.
object of-, 65 Explanation, 36
177f. , 228
widening of -(s), 242
- - w o r d , 118, 176fT. , 201,
213f. , 229f. , meaningless/meaningful-, 122fT. , 180f.
234, 240f. , 243
Concept-script (v. Begriffsschrift), 6, 9fT. , 47fT. , 67, 142, 184, 188, 195,253 primitive laws of-, 37, 39fT. , 46, 50
primitive signs of-, 36, 46, 48f. , 50 Condition (v. antecedent), 38, 41fT. , 152fT. ,
163,200
Conditional stroke, 11f. , 35fT. , 52, 152fT. ,
186f. , 188 Congruent, v. triangles
Congruent to a modulus, 22 Conjunction (v. and), 188f. , 191 Consequence, v. condition Consequent, v. condition Consistency
Index 283
? 284 Index
Extension? , v. concept
Extensionalist logicians v. intensionalist/
extensionalist logicians
Factor (common), 22 Fallacy, 34f. , 143, ! 55
False (v. true), 127, 138, 149
the-, 195, 233, 255
reject as-, 8, 149, 185, 197f.
Feeling, 129, 198
Fick, A. , 17
Fiction, 118, 122, 129f. , 191fT. , 225, 232,
269 Fischer, K. , 84
Following (in a series), 22, 38
Formal arithmetic, 165, 215, 273f. , 275 Formula-language
- of algebra, 2, 6
- of arithmetic, 13f. , 142
- Boole's logical-, 13fT. , 47fT. - ofgeometry, 13
- o f mathematics, 13f. , 47, 270
Function, 24fT. , 119, 155f. , 157fT. , 184, 195, 234f. , 238fT. , 270fT.
argument, argument-place, of a -, 119, 121, 154fT.
- of one, of two, of three arguments, 240fT. , 244, 250
continuous -, 24f.
--letter (v. letter), 121, 154, 156,272 --sign (--name) 119, 234, 239fT. , 243f. ,
271f.
unsaturatedness of a -, 97fT. , 119, 156,
254,272
value of a-, 119, 235, 238f.
Gauss, 280
Generality, 11, ! BIT. , 52, 153fT. , IG2, 187fT. ,
194f. , 199fT. , 230f. , 236fT. , 258fT. , 272 - of an equation between functions, 121 notation for -, 18fT.
Generalization, 191
Geometry (v. sources of knowledge), 170fT. ,
273f. , 277, 278fT. Euclidean/non-Euclidea'l-, 167fT.
God, v.
ontological proof of the existence of-
Good, 252
Grammar, 6f. , 141fT. , 146f. Grassmann, R. , 34 Ground, liT. , 147
Heine, E. , 164
Here, 135
Hereditary property, 28 Hilbert, 170fT. , 247fT. History, 258
historical/ahistorical -, 3 Husserl, 123f. ' Hypothetical
-judgement, 15, 52, 185, 198
- sentence [conditional sentence], 153f. ,
185, 188, 198fT. , 258fT. -thought, 188f. , 200,258, 261
I (v. affectionoftheego), 127,135
Idea (v. image, representation, association of - s ) , 54fT. , 73fT. , 104f. , 126fT. , 139f. ,
143fT. , 148, 174, 198 act of forming an -, 57 object of an-, 56fT. , 64f. -ofan-, 57
Idealism, 105, 130, 143f. , 232 Identity (v. equals sign, equation)
If
law of-, 62
relation of-, l2lf. , 182 sign of-, 10,226, 237, 240
. . . then . . . (v. hypothetical sentence), 153, 189fT.
Illustrative examples, 207, 214, 235 Image, 58, 74
Indefinitely indicating (v. letter)
- sentence-part, v. sentence-part
-sign, v. sign
Individual (thing), 213
Induction (mathematical), 31, 203
Inference (v. fallacy), 15, 27, 34f. , 118, 175,
180, 203fT. , 212, 244fT. , 261
chain of-(s), 204
- from the general to the particular,
258fT. , 272
laws of actual- /laws of correct-, 3fT.
Infinite, 273f. , 279 absolute-, 68f. actual-, 68f. potential-, 68f.
Inner perception, 58
Integral, definite, 15 7f. lntensionalist/Extensionalist logicians, 118,
122f. Interjection, 135, 140
Intuition, 32, 58, 2 78 Is, v. copula
[as expression of existence], 53, 62, 63f.
[as expression of identity], 90fT. , 113fT. It,62, 190,260
Jevons, W. S. , 10, 35f. , 48
Judgement, ! IT. , 7, 11, 16f. , 45f. , 47, 51f. ,
59f. , 119, 139, 149, 151, 185, 194,
197fT. , 251, 253f. , 267 aesthetic-, 126f. , 131f.
content of possible-, v. content hypothetical-, v. hypothetical particular-, v. particular singular-, v. singular --stroke,! ! , 18fT. , 51f. , 195,198
1urisprudence, 203
Justification (v. judgement, ground), 2ff. ,
147, 175
? Kant, 203
Kerry, B. , 87fT.
Knowledge (v. recognition)
-a priori, 277
geometrical source of-, 277, 278fT. sources of- (v. sense perception), 266fT. temporal source of-, v. time
Korselt, A. , I77
Language (v. meta-, formula-language), 67, 192f. , 213, 225,243, 259fT. , 269fT.
changes in-, 141
logic and-, v. logic
logical imperfections of-, 117, 143, ! 49,
177fT. , 190,193,252,266 being misled by-, 263, 266, 269fT. ordinary-, 136f. , 207, 213
poetic use of-, 139f. printed/spoken-, 13, 46,260 verbal-, v. verbal
Law (v. associative-), 145ff. , 258.
-(s) of being true/holding true, v. true
-(s) of correct inference/actual inference
v. inference
- o f excluded middle, 155, 186, 195, 198 - o f identity, 62
-(s) ofjudgement, 145fT.
-(s) of logic, v. logic
natural-(s), v. natural
primitive -(s) (of the concept-script), v.
concept-script
-(s) of thought, v. thought
Leibniz, 9f. , 13, 33, 35, 47f. , 203,253
Letter (v. function, object), 152fT. , 162fT. ,
188, 193, 199fT. , 260fT.
use of -(s) in arithmetic and mathematics
162fT. , 194f. , 200f. , 235fT. , 272 , Lettre variable, 152fT.
Limit, 25 receding-, 69
Line, 280f.
intersection of two -(s), 281
Lingua characterica, 9, 12f.
Locke, 105
Logic (v. psychology, intensional/exten-
sional), 1fT. , 96, 125, 126fT. , 136, 141fT. ,
174f. , 179, 185, 198, 203,252, 253f.
- and language, 6f. , 13, 94fT. , 136f. ,
141fT. , 188, 190,252, 266, 269fT. Aristotelian -, 15
laws of-, 3fT. , 47, 122, 145fT. Peano's mathematical-, ! 52
psychological 147fT.
conception
o f
- ,
142fT. ,
Logical
- analysis, 208fT.
- source of knowledge, 267fT.
Mathematics (v. analysis, arithmetic, formula-language, geometry), 157fT. ,
16. 5, 203fT. ? 242, 253, 277
Index 285 -in education, 221f.
functions in-, 254, 270fT.
use of letters in-, v. ? ~tter
-and philosophy, 203,216, 273f. psychological considerations in-, 76fT. sources of knowledge of-, 267fT. , 278fT. - as a system, 205f. . 211, 242fT.
McColl, H. , 15
Mean [bedeuten], 91,96
Meaning [reference], 90, 99, 113fT. , 118fT. ,
192fT. , 229fT. , 243, 255f. simplicity of-, 49
Mer. ningless, v. concept, proper name Meeting of minds, 207, 271 Meta-language/object-language, 260fT. Mill, J. S. , 79
Mock
- assertion, 126, 130 - propername,130
- thought, 130
Multiple
COII'mOn-, 22
least common-, 24 -of a number, 22fT. , 27
Multiplication (product), logical, 33f. , 38, 46,49
-sign (logical), 48, 52
Name (v. concept, function, proper name) 123f. ,
Natural
-laws, 4f. , 127, 129, 131, 133, 137f. , 145,
258, 268
- sciences, 3, 130, 267fT.
Negation (denial), 15, 48fT. , 55, 149fT. , 185 198,253 ,
double-, 149
--stroke, 11, 20f. , SOfT.
Negative concept, v. concept
Neither . . . nor . . . , 51
Newton, 203
No, ISO, 213
Nomen appellativum, v. concept-word Nomen proprium, v. proper name
None, 63
Nonsense, 182
Normal human being, 132, 147f.
Now, 135
Number, 34, 55, 57, 70f. , 72fT. , 106f. , 215fT. ,
253, 256f. , 263f. , 265f. , 273f. , 275fT. ,
279fT.
complex -(s), 279fT. determinate/indeterminate-, 160fT. existence ofa-, 55, 57
Gaussian - plane, 280 kindergarten -(s), 276f.
logical foundation for -(s), 269 natural -, 72
positive rational -, 23
? 286
Number-continued
positive whole-, 22
real-, 279
-(s) as sets, 269
- -signs, v.
