Figure 1
Sequence of instructions shown before the experiment begins (left) and the display shown for main data collection (right).
Table 1
A complete list of sets used in experiment, sorted by length. Each cell shows a set of numbers that was presented to subjects, who then decide what other numbers in 1 … 100 are likely to be generated.
| 1 | 2 | 3 | 4 | 5 |
| 6 | 7 | 8 | 9 | 10 |
| 11 | 12 | 13 | 14 | 15 |
| 16 | 17 | 18 | 22 | 23 |
| 25 | 26 | 30 | 31 | 33 |
| 35 | 36 | 39 | 43 | 44 |
| 47 | 48 | 49 | 50 | 51 |
| 53 | 55 | 61 | 62 | 64 |
| 66 | 67 | 69 | 72 | 73 |
| 78 | 81 | 84 | 85 | 86 |
| 89 | 91 | 93 | 95 | 100 |
| 75, 4 | 81, 9 | 5, 51 | 13, 91 | 98, 83 |
| 16, 8 | 33, 9 | 3, 31 | 52, 24 | 25, 17 |
| 85, 7 | 71, 11 | 64, 4 | 5, 65 | 3, 63 |
| 55, 29 | 6, 74 | 3, 87 | 63, 67 | 94, 70 |
| 8, 92 | 2, 8 | 33, 3 | 7, 31 | 81, 25 |
| 26, 2 | 24, 35 | 83, 11 | 14, 47 | 50, 2 |
| 75, 27 | 19, 73 | 28, 13 | 2, 47 | 8, 64 |
| 28, 2 | 7, 63 | 10, 3 | 6, 25 | 16, 54 |
| 3, 81 | 55, 3 | 25, 82 | 23, 80 | 53, 2 |
| 60, 54 | 22, 96 | 59, 3 | 34, 26 | 15, 93 |
| 15, 11 | 94, 7 | 92, 56 | 8, 32 | 8, 16 |
| 5, 9 | 3, 7 | 83, 77 | 70, 15 | 6, 66 |
| 7, 67 | 73, 33 | 59, 14 | 10, 80 | 21, 71 |
| 42, 62 | 63, 43 | 64, 44 | 75, 95 | 76, 26 |
| 37, 57 | 68, 58 | 79, 59 | 84, 56 | 66, 78 |
| 28, 98 | 96, 48 | 90, 45 | 87, 8, 52 | 66, 93, 51 |
| 7, 51, 23 | 10, 55, 58 | 29, 62, 98 | 32, 4, 16 | 33, 3, 65 |
| 31, 3, 1 | 50, 76, 28 | 61, 9, 45 | 85, 19, 91 | 5, 77, 89 |
| 33, 5, 19 | 10, 74, 22 | 63, 27, 81 | 67, 99, 15 | 16, 82, 28 |
| 20, 32, 92 | 100, 1, 16 | 65, 26, 2 | 48, 99, 3 | 38, 18, 3 |
| 23, 62, 98 | 98, 18, 50 | 75, 48, 3 | 73, 33, 3 | 49, 76, 13 |
| 47, 2, 74 | 1, 8, 27 | 9, 65, 28 | 10, 66, 29 | 53, 47, 41 |
| 98, 54, 18 | 4, 16, 12 | 69, 19, 85 | 81, 87, 27 | 6, 34, 82 |
| 51, 39, 87 | 15, 39, 35 | 52, 22, 94 | 92, 68, 20 | 77, 17, 8 |
| 90, 100, 5 | 16, 26, 96 | 82, 67, 72 | 48, 63, 53 | 64, 94, 84 |
| 10, 50, 100 | 71, 31, 21 | 62, 32, 22 | 63, 23, 43 | 84, 94, 34 |
| 15, 85, 45 | 46, 76, 66 | 27, 37, 67 | 78, 48, 88 | 59, 89, 79 |
| 12, 84, 8 | 48, 30, 78 | 14, 98, 91 | 8, 80, 48 | 18, 45, 72 |
| 3, 33, 99 | 65, 47, 55, 13 | 39, 60, 12, 45 | 73, 35, 53, 59 | 31, 19, 49, 100 |
| 11, 41, 38, 92 | 16, 32, 2, 8 | 33, 17, 5, 9 | 31, 3, 1, 15 | 20, 8, 84, 100 |
| 29, 77, 37, 17 | 91, 25, 61, 31 | 17, 11, 65, 53 | 29, 9, 3, 31 | 34, 86, 30, 94 |
| 63, 27, 99, 33 | 99, 59, 31, 67 | 70, 10, 88, 40 | 68, 14, 8, 26 | 4, 64, 25, 81 |
| 17, 50, 5, 82 | 8, 24, 48, 63 | 6, 51, 66, 27 | 79, 47, 62, 98 | 18, 8, 72, 98 |
| 75, 48, 12, 3 | 9, 33, 73, 99 | 49, 28, 76, 13 | 11, 26, 74, 2 | 67, 31, 17, 61 |
| 98, 24, 30, 3 | 4, 66, 78, 96 | 43, 4, 91, 9 | 15, 17, 21, 5 | 22, 62, 26, 82 |
| 69, 9, 39, 21 | 23, 35, 95, 83 | 70, 88, 7, 22 | 92, 14, 20, 5 | 68, 20, 35, 92 |
| 55, 60, 25, 100 | 71, 61, 26, 81 | 92, 82, 27, 42 | 83, 38, 58, 68 | 59, 34, 14, 89 |
| 80, 70, 90, 100 | 81, 71, 21, 31 | 72, 92, 82, 42 | 93, 43, 83, 53 | 54, 14, 94, 34 |
| 55, 15, 75, 45 | 96, 86, 36, 66 | 97, 77, 87, 47 | 48, 78, 38, 98 | 59, 49, 99, 69 |
| 76, 44, 8, 48 | 96, 90, 6, 42 | 42, 35, 21, 84 | 64, 96, 24, 56 | 36, 45, 54, 81 |
Figure 2
Human predictive distributions for 3 concepts (rows), selectively highlighting target numbers corresponding to ‘multiples of 3’ (left column) and ‘ends in 3’ (right column).