List of Figures

Endurance (a), perdurance (b), and exdurance (c) in Minkowski spacetime 34

“Corner slice” (Gilmore 2006: 212–213) 35

Łukasiewicz negation 45

Łukasiewicz conjunction 45

Łukasiewicz disjunction 45

What seems to follow for the material conditional from Łukasiewicz negation, conjunction, and disjunction 46

Łukasiewicz conditional 47

A more suitable truth table for negation 50

A‐series, indeterministic “open future” variant 71

A‐series, deterministic variant 72

A B‐series (linear temporal ordering of events) 73

Block universe 73

Alexandroff Present 77

Alexandroff Present, reasonable units 77

Non‐spatially‐restricted‐relativistic “present” candidate 79

The Absolute Elsewhere Present 79

Propensities in space‐time 85

Just the facts 85

Two types of eternal recurrence 99

Modal Realism 114

Actualism 114

Possible Worlds and Possible Presents 116

Galilean Space‐time 183

Minkowski Space‐time 184

I  _f only contributes to E  _p by way of C̅ 265

Gliding along the timeline requires a meta‐time 390

Integrating change: the seeing of a falling block in a Block universe 391

Two conceptions of the specious present 395

An Extensionalist specious present: a ball rolling along the floor 397

A single Extensional specious present and its relationship to objective time 398

One conception of how Extensional specious presents combine to form streams of consciousness 399

An alternative—and more plausible—conception of how Extensional specious presents combine to form streams of consciousness 400

A more realistic depiction of the distribution of specious presents in an Extensional stream of consciousness 400

A single Retentional specious present and its relationship to objective time 401

A more realistic depiction of a Retentional stream of consciousness 403

Retentions in action 403

Five conceptions of the nature of time—and the large‐scale structure of the universe 405

Experiencing a sequence of tones in a Moving Spotlight universe 411

Another look at the rolling ball 417

Husserl's model of time‐consciousness (from Gallagher 1998) 423

Intentions and timescales 431

A charge that is hyperbolically accelerated in the future 499

A charge that is hyperbolically accelerated in the past 500

A charge that is hyperbolically accelerated for all times 505

Past truncated Minkowski spacetime 510

Future truncated Minkowski spacetime 510

Outward journey: what Traveller measures 532

Outward journey: what Homebody measures 533

Return journey: what Traveller measures 534

Return journey: what Homebody measures 535

Complete journey 535

The four multiply connected topologies of the two‐dimensional Euclidean plane 538

Walking on a torus 539

From multiply connected space to the universal covering space 539

From space to space‐time 540

Straight paths in the universal covering space of a (2 + 1) 543

The worldlines of the time traveler T and of Grandpa G according to the multiverse proposal. 583

The generators of the boundary may have endpoints not in S  591

Rolling up a slice of (1 + 1)‐dimensional Minkowski spacetime 592

The causal future J  ⁺(Σ) 604

An illustration of the definition of hole freeness 605

A conformal diagram of a black hole 612

Foliation of spacetime into spacelike hypersurfaces 667

The classical and the quantum theory of gravity exhibit drastically different notions of determinism 672