Acknowledgements |
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v | |
Abbreviations |
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xii | |
Introduction |
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1 | (11) |
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Linguistic numeral systems |
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12 | (60) |
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Cardinal numerals as quantifiers |
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12 | (4) |
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Cardinal numerals and numbers |
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16 | (9) |
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Preliminaries: cardinal numerals as properties of sets |
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16 | (2) |
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Numbers as ordered sequences |
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18 | (2) |
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Different types of number assignment |
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20 | (3) |
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Numbers are infinite, numerals are not |
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23 | (1) |
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24 | (1) |
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The basic components of numeral systems |
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25 | (17) |
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25 | (1) |
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26 | (4) |
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30 | (2) |
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32 | (1) |
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32 | (2) |
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Terminological problem I: bases vs. operands |
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34 | (2) |
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Terminological problem II: a mathematician's base |
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36 | (2) |
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38 | (1) |
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Complex numerals: a case of syntax or morphology? |
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39 | (2) |
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41 | (1) |
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Systemic and non-systemic cardinality expressions |
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42 | (10) |
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42 | (4) |
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46 | (1) |
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The counting sequence as an ordered sequence of well-distinguished expressions |
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46 | (2) |
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The counting sequence of Old English |
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48 | (1) |
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The limited recursive potential of non-systemic expressions |
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49 | (1) |
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Cardinal numerals as the morphological basis of non-cardinal numerals |
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50 | (2) |
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Idiosyncrasies and variant froms in numeral systems |
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52 | (10) |
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`Idiosyncratic' vs. `systemic' |
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52 | (2) |
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54 | (4) |
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58 | (1) |
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59 | (1) |
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59 | (3) |
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Summary: Terminological and theoretical basis for the study of numerals |
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62 | (10) |
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63 | (1) |
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Numerically specific vs. numerically unspecific |
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63 | (1) |
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Systemic vs. non-systemic number expressions |
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63 | (1) |
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64 | (1) |
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Approaches to defining `number' |
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64 | (1) |
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65 | (1) |
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Types of number assignment |
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66 | (1) |
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Counting words and numerals |
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66 | (1) |
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The elements and properties of numeral systems |
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67 | (1) |
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67 | (1) |
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`Simple' vs. `complex', `atoms' vs. `bases' |
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67 | (1) |
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68 | (2) |
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70 | (1) |
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Allomorphic and functional variants |
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70 | (2) |
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The numeral system of Old English |
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72 | (57) |
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Overview: the simple forms |
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73 | (2) |
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75 | (7) |
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75 | (1) |
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76 | (4) |
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80 | (1) |
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The atomic values from `4' to `9' |
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81 | (1) |
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The expressions for `11' and `12' |
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82 | (1) |
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83 | (11) |
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The simple forms for `10' |
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83 | (1) |
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83 | (1) |
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84 | (1) |
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The expressions up to `60' |
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84 | (3) |
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The expressions for `70', `80', and `90' |
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87 | (3) |
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The expressions for `100', `110', and `120' |
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90 | (4) |
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94 | (11) |
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The expressions for `100' |
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94 | (2) |
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The distribution of the expressions for `100' |
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96 | (6) |
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The section from `100' to `129' |
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102 | (3) |
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105 | (2) |
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The development of the Old English numeral system |
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107 | (10) |
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108 | (1) |
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The numeral system of proto-Indo-European |
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108 | (1) |
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The numeral system of proto-Germanic |
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109 | (3) |
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Changes during the Old English period |
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112 | (1) |
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The loss of the overrunning section |
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112 | (1) |
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The loss of the circumfix |
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113 | (2) |
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Later modifications of the numeral system |
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115 | (2) |
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117 | (12) |
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The expressions for `first' |
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119 | (3) |
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The expressions for `second' |
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122 | (2) |
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The ordinal forms of the simple numerals |
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124 | (1) |
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The ordinal formation of complex forms |
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125 | (4) |
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129 | (49) |
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The formation of complex numerals |
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130 | (22) |
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130 | (6) |
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The use of the third base |
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136 | (3) |
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The coherence of complex numerals |
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139 | (1) |
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The position of the quantified NP in complex numerals |
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139 | (5) |
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Other splits in complex numerals |
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144 | (8) |
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The decimal numeral system |
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152 | (10) |
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Recursion and serialisation |
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152 | (2) |
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How to (not) determine a decimal numeral system |
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154 | (5) |
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Old English: a trace of duodecimal counting? |
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159 | (3) |
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Non-systemic expressions for numerical values |
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162 | (16) |
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162 | (2) |
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Non-systemic strategies for expressing numerical values within the scope of the numeral system |
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164 | (1) |
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164 | (5) |
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Extension of the scope of the second base |
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169 | (2) |
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Other alternative expressions |
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171 | (1) |
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Strategies for exceeding the scope of the numeral system |
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172 | (6) |
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Numeral constructions in Old English |
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178 | (70) |
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178 | (2) |
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Previous classifications of the syntactic properties of Old English numerals |
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180 | (9) |
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180 | (3) |
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183 | (2) |
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185 | (2) |
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187 | (2) |
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Attributive quantification |
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189 | (18) |
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The Attributive Construction |
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190 | (2) |
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The Elliptic Construction |
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192 | (1) |
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192 | (3) |
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195 | (2) |
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197 | (5) |
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Nominalisation of numerals |
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202 | (3) |
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205 | (2) |
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The Predicative Construction |
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207 | (3) |
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The Partitive Construction |
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210 | (17) |
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210 | (5) |
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Constraints on the Partitive Construction |
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215 | (1) |
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Quantification of a subset |
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216 | (3) |
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Quantification by high valued numerals |
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219 | (3) |
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A uniform account of the Partitive Construction |
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222 | (5) |
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227 | (12) |
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The nucleus of a Measure Construction |
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227 | (2) |
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229 | (1) |
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230 | (2) |
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232 | (4) |
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236 | (1) |
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237 | (2) |
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The quantification of mass nouns |
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239 | (5) |
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244 | (4) |
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The word class `cardinal numeral' |
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248 | (38) |
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248 | (2) |
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Adjectives, nouns, and numerals |
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250 | (23) |
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The numeral - an adjective? |
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250 | (3) |
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253 | (6) |
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259 | (4) |
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Cardinality-dependent variation of atoms |
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263 | (2) |
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Cardinality-dependent variation of bases |
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265 | (1) |
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The emergence of numeral systems |
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265 | (3) |
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268 | (4) |
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Another remark on I-deletion |
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272 | (1) |
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Cross-linguistic types of numeral constructions |
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273 | (8) |
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Count and Mass Quantification |
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274 | (5) |
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The Partitive Construction as an intermediate type |
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279 | (2) |
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Against the hybridity of cardinal numerals |
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281 | (5) |
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286 | (8) |
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294 | (26) |
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294 | (7) |
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301 | (19) |
Subject index |
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320 | (7) |
Author index |
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327 | |