Modern science has imposed on humanity the necessity for wandering. Its progressive thought and its progressive technology make the transition through time, from generation to generation, a true migration into uncharted seas of adventure. The very benefit of wandering is that it is dangerous and needs skill to avert evils. We must expect, therefore, that the future will disclose dangers. It is the business of the future to be dangerous; and it is among the merits of science that it equips the future for its duties. The prosperous middle classes, who ruled the nineteenth century, placed an excessive value upon placidity of existence. They refused to face the necessities for social reform imposed by the new industrial system, and they are now refusing to face the necessities for intellectual reform imposed by the new knowledge. The middle class pessimism over the future of the world comes from a confusion between civilisation and security. In the immediate future there will be less security than in the immediate past, less stability. It must be admitted that there is a degree of instability which is inconsistent with civilisation. But, on the whole, the great ages have been unstable ages.
I have endeavoured in these lectures to give a record of a great adventure in the region of thought. It was shared in by all the races of western Europe. It developed with the slowness of a mass movement. Half a century is its unit of time. The tale is the epic of an episode in the manifestation of reason. It tells how a particular direction of reason emerges in a race by the long preparation of antecedent epochs, how after its birth its subject-matter gradually unfolds itself, how it attains its triumphs, how its influence moulds the very springs of action of mankind, and finally how at its moment of supreme success its limitations disclose themselves and call for a renewed exercise of the creative imagination. The moral of the tale is the power of reason, its decisive influence on the life of humanity. The great conquerors, from Alexander to Caesar, and from Caesar to Napoleon, influenced profoundly the lives of subsequent generations. But the total effect of this influence shrinks to insignificance, if compared to the entire transformation of human habits and human mentality produced by the long line of men of thought from Thales to the present day, men individually powerless, but ultimately the rulers of the world.
INDEX
The numbers refer to pages; and ‘e.s.’ stands for ‘et seqq.’, where the reference is to the succeeding pages of the chapter in question.
- Abruptness (in Ingression), [239].
- Absolute, The, [129].
- Abstract, [221].
- Abstraction, [233], e.s.
- Abstraction (in Mathematics), [28], e.s.
- Abstractive Hierarchy, [234], e.s.
- Acceleration, [66].
- Actualisation, [222].
- Adam Smith, [280].
- Aeschylus, [14].
- Alexander, S., [preface].
- Algebra, [42], [44].
- Alva, [2].
- Ampère, [139].
- Analytical Character (Eternal Objects), [228].
- Anselm, St., [80].
- ‘Any,’ 229.
- Aquinas, Thomas, [12], [13], [205].
- Arabic Arithmetical Notation, [42].
- Archimedes, [7], [8], [9], [10].
- Arguments (of functions), [44].
- Aristotle, [7], e.s.; [41], [42]; [64], e.s.; [180], [187]; [236], e.s.
- Arnold, Matthew, [115].
- Art, [279], e.s.
- Art, Medieval, [18], e.s.
- Aspect, [98]; [146], e.s.
- Associated Hierarchy, [237].
- Aston, F. W., [260].
- Atom, [140], [144].
- Augustine, Saint, [266].
- Bacon, Francis, [11]; [56], e.s.; [92], [136].
- Bacon, Roger, [7].
- Base of Abstractive Hierarchy, [235].
- Being, [227].
- Belisarius, [19].
- Benedict, Saint, [21].
- Bergson, [72]; [202], e.s.
- Berkeley, George, [93], e.s.; [105], [120], [198].
- Bichât, [141].
- Biology, [58], [88], [144].
- Bonaventure, Saint, [12].
- Boyle, Robert, [57].
- Brown University, [Preface].
- Bruno, Giordano, [1].
- Byzantine Empire, [19].
- Carlyle, [85].
- Cervantes, [56].
- Change, [121].
- Chaucer, [22].
- China, [8], [106].
- Clairaut, [85], [193].
- Classification, [41], e.s.
- Clough, A. H., [115].
- Cognition, [97].
- Coleridge, [115], [116].
- Columbus, [22], [49].
- Complex Eternal Objects, [232].
- Components, [232].
- Conic Sections, [42].
- Connexity (of a Hierarchy), [235].
- Connectedness (of an occasion), [237].
- Conservation of Energy, [142], e.s.
- Continuity, [140].
- Copernicus, [1], [22], [56], [184].
- Cosmas, [254].
- Cromwell, Oliver, [23].
- D’Alembert, [80], [85].
- Dalton, John, [140], [141].
- Da Vinci, Leonardo, [60].
- Darwin, [263].
- Democritus, [140].
- Demos, R., [Preface].
- Density, [70], [189].
- Desargues, [78].
- Descartes, [25]; [43], e.s.; [56], [57]; [104]; [115]; [195], e.s.; [272].
- Determinism, [110].
- Differential Calculus, [78].
- Discontinuous Existence, [51]; [190], e.s.
- Distance, [173].
- Divinity, Scholastic, [17].
- Divisibility, [177].
- Education, [277], e.s.
- Egyptians, [20], [43].
- Einstein, [14], [41], [86], [88]; [173], e.s.; [263].
- Electron, [50], e.s.; [111], e.s.; [185], e.s.
- Empty Events, [214].
- Endurance, [121]; [147], e.s.; [169], e.s.; [186], e.s.; [212].
- Endurance, Vibratory, [51].
- Energy, Physical, [51], e.s.
- Environment, [155], e.s.
- Envisagement, [148], e.s.
- Epochs, [177].
- Epochal Durations, [192].
- Essence, [175].
- Eternal Objects, [121], e.s.; [146], e.s.; [221], e.s.
- Ether, [184].
- Euripides, [14].
- Event, [102]; [168], e.s.
- Evolution, [130]; [142], e.s.
- Exhaustion, Method of, [42].
- Extension, [177].
- Extensive Quantity, [178].
- External Relations, [223], e.s.
- Extrinsic Reality, [146].