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Philosophical theory by David Hume
Bundle theory, originated by the 18th century Scottish philosopher David Hume, is the ontological theory about objecthood in which an object comprises
Bundle_theory
Vector bundle of rank 1
circle. From the perspective of homotopy theory, a real line bundle therefore behaves much the same as a fiber bundle with a two-point fiber, that is, like
Line_bundle
Philosophical idea of a person having a unique existence
eliminativist theory and the bundle or reductionist theory agree about the non-existence of a substantive self. The reductionist theory, according to
Personal_identity
Individual being
immaterial mind or soul, continuity of consciousness or memory, the bundle theory of self, continuity of personality after the death of the physical body
Person
Basic ontological concept
the argument claims, bundle theory and metaphysical realism cannot both be correct. However, bundle theory combined with trope theory (as opposed to metaphysical
Substance_theory
Study of vector bundles, principal bundles, and fibre bundles
mathematical physics, gauge theory is the general study of connections on vector bundles, principal bundles, and fibre bundles. Gauge theory in mathematics should
Gauge_theory_(mathematics)
Philosophy and tradition inspired by David Hume
known for his development of the bundle theory of the self. It states that the self is to be understood as a bundle of mental states and not as a substance
Humeanism
Mathematical parametrization of vector spaces by another space
In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X
Vector_bundle
Continuous surjection satisfying a local triviality condition
In mathematics, and particularly topology, a fiber bundle (Commonwealth English: fibre bundle) is a space that is locally a product space, but globally
Fiber_bundle
Philosophical study of being
Bundle theories state that there are no regular objects but only bundles of co-present properties. For example, a lemon may be understood as a bundle
Ontology
Classical field theories on fiber bundles
mathematical physics, covariant classical field theory represents classical fields by sections of fiber bundles, and their dynamics is phrased in the context
Covariant classical field theory
Covariant_classical_field_theory
mathematics, the universal bundle in the theory of fiber bundles with structure group a given topological group G, is a specific bundle over a classifying space
Universal_bundle
Distinct figure or entity
whole. In this way, anatman, together with anicca, resembles a kind of bundle theory. Instead of an atomic, indivisible self distinct from reality, the individual
Individual
Topics referred to by the same term
Look up bundle in Wiktionary, the free dictionary. Bundle or Bundling may refer to: Bundling (packaging), the process of using straps to bundle up items
Bundle
Mathematical physics relation
quantization in terms of Hopf fibrations. Equivalences between fiber bundle theory and gauge theory were hinted at the end of the 1960s. In 1967, mathematician
Wu–Yang_dictionary
Type of vector bundle
the category of Higgs bundles over this variety are actually equivalent. Therefore, one can deduce results about gauge theory with flat connections by
Higgs_bundle
Defines a notion of parallel transport on a bundle
differential geometry and gauge theory, a connection on a fiber bundle is a device that defines a notion of parallel transport on the bundle; that is, a way to "connect"
Connection_(vector_bundle)
Scottish philosopher, historian, economist and essayist (1711–1776)
favoured the bundle theory of personal identity. In this theory, "the mind itself, far from being an independent power, is simply 'a bundle of perceptions'
David_Hume
Partial differential equations whose solutions are instantons
gauge theory, the Yang–Mills equations are a system of partial differential equations for a connection on a vector bundle or principal bundle. They arise
Yang–Mills_equations
Right inverse of a fiber bundle map
mathematical field of topology, a section (or cross section) of a fiber bundle E {\displaystyle E} is a continuous right inverse of the projection function
Section_(fiber_bundle)
Thought experiment about identity over time
harvested from an adjoining forest that is considered sacred. Bundle theory – Philosophical theory by David Hume Haecceity – Term from medieval scholastic philosophy
Ship_of_Theseus
Fiber bundle whose fibers are group torsors
In the mathematical area of topology, a principal bundle is a mathematical object that formalizes some of the essential features of the Cartesian product
Principal_bundle
Philosophy terms referring to an observer versus the thing observed
Two leading theories about objecthood are substance theory, wherein substances (objects) are distinct from their properties, and bundle theory, wherein objects
Subject and object (philosophy)
Subject_and_object_(philosophy)
Mathematical concept that extends the intuitive idea of gluing in topology
on topological spaces, the theory starts with some ideas on identification. The case of the construction of vector bundles from data on a disjoint union
Descent_(mathematics)
Physical theory with fields invariant under the action of local "gauge" Lie groups
label points in space and time. (In mathematical terms, the theory involves a fiber bundle in which the fiber at each point of the base space consists
Gauge_theory
adjoint bundle into a (nonassociative) algebra bundle. Adjoint bundles have important applications in the theory of connections as well as in gauge theory. Let
Adjoint_bundle
Branch of mathematics
In mathematics, K-theory is, roughly speaking, the study of a ring generated by vector bundles over a topological space or scheme. In algebraic topology
K-theory
Philosophical thought experiment
theory, a substance is distinct from its properties, while according to bundle theory, an object is merely its sense data. The definition of sound, simplified
If a tree falls in a forest and no one is around to hear it, does it make a sound?
If_a_tree_falls_in_a_forest_and_no_one_is_around_to_hear_it,_does_it_make_a_sound?
Branch of algebraic topology
In mathematics, topological K-theory is a branch of algebraic topology. It was founded to study vector bundles on topological spaces, by means of ideas
Topological_K-theory
Concept in philosophy
self being an activity, the self being independent of the senses, the bundle theory of the self, the self as a narrative center of gravity, and the self
Philosophy_of_self
Superconductivity theory
Ginzburg–Landau theory, often called Landau–Ginzburg theory, named after Vitaly Ginzburg and Lev Landau, is a mathematical physical theory used to describe
Ginzburg–Landau_theory
Philosophical problem
problem while discussing the bundle theory of objects, according to which an object is merely a "bundle" of properties. This theory raises the question of how
Bradley's_regress
Aspect of economics
decisions. The basic problem of consumer theory takes the following inputs: The consumption set C – the set of all bundles that the consumer could conceivably
Consumer_choice
Individual person as the object of its own reflective consciousness
self, soul or essence in living beings Attention Ego death Humeanism § Bundle theory of the self I (pronoun) Individuation Jīva (Jainism), or Atman, used
Self
1984 book by Derek Parfit
such invasive control. Parfit's conclusion is similar to David Hume's bundle theory, and also to the view of the self in Buddhism's Skandha, though it does
Reasons_and_Persons
Economic concept
preferences or utility, for example through stated preferences. Let there be two bundles of goods, a and b, available in a budget set B {\displaystyle B} . If it
Revealed_preference
Generalization of vector bundles
Coherent sheaves can be seen as a generalization of vector bundles. Unlike vector bundles, they form an abelian category, and so they are closed under
Coherent_sheaf
Group of Italian mathematicians who studied birational geometry (c. 1885–1935)
these issues, a sophisticated theory of handling a linear system of divisors was developed (in effect, a line bundle theory for hyperplane sections of putative
Italian school of algebraic geometry
Italian_school_of_algebraic_geometry
mathematics, a bundle map (or bundle morphism) is a function that relates two fiber bundles in a way that respects their internal structure. Fiber bundles are mathematical
Bundle_map
Philosophy of the Western world
as Hume and Berkeley, favoured the bundle theory of personal identity. In this theory, the mind is simply 'a bundle of perceptions' without unity. One
Western_philosophy
Restriction of electrical impulse flow in the heart's bundle branches
A bundle branch block is a partial or complete interruption in the flow of electrical impulses in either of the bundle branches of the heart's electrical
Bundle_branch_block
Philosophical method of Henri Bergson
the simulacrum. An example of this is the substance theory of rationalists and the bundle theory of empiricists. Empiricists, searching for the substance
Intuition_(Bergson)
Subject area in mathematics
the Chow group of Y from a vector bundle on X: Starting from X, one can first compute the pushforward in K-theory and then apply the Chern character
Algebraic_K-theory
Characteristic classes of vector bundles
vector bundles. They have since become fundamental concepts in many branches of mathematics and physics, such as string theory, Chern–Simons theory, knot
Chern_class
the Poincaré bundle, a universal line bundle can be defined on A × Av. The construction when K has characteristic p uses scheme theory. The definition
Dual_abelian_variety
Construction in differential topology
variations. Consequently, the jet bundle is now recognized as the correct domain for a geometrical covariant field theory and much work is done in general
Jet_bundle
Vector bundle existing over a Grassmannian
In mathematics, the tautological bundle is a vector bundle occurring over a Grassmannian in a natural tautological way: for a Grassmannian of k {\displaystyle
Tautological_bundle
Philosophical view
called immaterialism. Now, matter can be argued to be redundant, as in bundle theory, and mind-independent properties can, in turn, be reduced to subjective
Materialism
Way to create new manifolds out of disk bundles
the techniques known as surgery theory, the process of plumbing is a way to create new manifolds out of disk bundles. It was first described by John Milnor
Plumbing_(mathematics)
the Hodge bundle, named after W. V. D. Hodge, appears in the study of families of curves, where it provides an invariant in the moduli theory of algebraic
Hodge_bundle
Topological quantum field theory
holonomy of vector bundle on M. These explain why the Chern–Simons theory is closely related to topological field theory. Chern–Simons theories can be defined
Chern–Simons_theory
Application of Lagrangian mechanics to field theories
settings of potential theory. In addition, insight and clarity is obtained by generalizations to Riemannian manifolds and fiber bundles, allowing the geometric
Lagrangian_(field_theory)
Quotient of a weakly contractible space by a free action
space construction. In homotopy theory the definition of a topological space BG, the classifying space for principal G-bundles, is given, together with the
Classifying_space
Generalization of a fiber bundle
In mathematics, a bundle is a generalization of a fiber bundle dropping the condition of a local product structure. The requirement of a local product
Bundle_(mathematics)
Mathematics theory
the indigenous line bundle. So in p-adic Teichmüller theory, the p-adic analogue the Fuchsian uniformization of Teichmüller theory, is the study of integral
P-adic_Teichmüller_theory
vector bundle is a (holomorphic or algebraic) vector bundle that is stable in the sense of geometric invariant theory. Any holomorphic vector bundle may
Stable_vector_bundle
Concept in differential geometry
orientable Riemannian manifold (M, g) allows one to define associated spinor bundles, giving rise to the notion of a spinor in differential geometry. Spin structures
Spin_structure
God's attributes, can be understood as a version of bundle theory versus substrate attribute theory. Beginning with the Mu'tazila, God's attributes have
Attributes_of_God_in_Islam
Unified field theory
essentially be formulated as a gauge theory on a fiber bundle, the circle bundle, with gauge group U(1). In Kaluza–Klein theory this group suggests that gauge
Kaluza–Klein_theory
Right inverse of a morphism
of a fiber bundle in topology: in the latter case, a section of a fiber bundle is a section of the bundle projection map of the fiber bundle. Given a quotient
Section_(category_theory)
Term in metaphysics
perceiving them does. Bundle theory Haecceity Hypostasis (philosophy and religion) Noumenon Principle of individuation Quiddity Substance theory Thing-in-itself
Hypokeimenon
Cohomology class
by questions of geometric topology and bundle theory, they are today most often used in stable homotopy theory. Highly structured ring spectra have better
Highly structured ring spectrum
Highly_structured_ring_spectrum
Medical condition
Left bundle branch block (LBBB) is a conduction abnormality in the heart that can be seen on an electrocardiogram (ECG). In this condition, activation
Left_bundle_branch_block
Concept in mathematics
a Z graded A module.[citation needed] Equivariant algebraic K-theory Equivariant bundle Equivariant cohomology Quotient stack MFK 1994, Ch 1. § 3. Definition
Equivariant_sheaf
Metaphysical view that physical objects only exist as sensory stimuli
Berkeley holds that objects are merely bundles of sensations (see bundle theory), Kant holds (unlike other bundle theorists) that objects do not cease to
Phenomenalism
Offering several products as one
In marketing, product bundling is offering several products or services for sale as one combined product or service package. It is a common feature in
Product_bundling
Concept in mathematics
differential geometry and gauge theory, a connection is a device that defines a notion of parallel transport on the bundle; that is, a way to "connect" or
Connection_(principal_bundle)
Philosophical question
Socrates and Kant. Philosophy portal Abstract and concrete Bundle theory Constructor theory Non-physical entity, an object that exists outside physical
Problem_of_universals
Mathematical technique for vector bundles
technique used to reduce questions about vector bundles to the case of line bundles. In the theory of vector bundles, one often wishes to simplify computations
Splitting_principle
Concept in algebraic geometry
can be formulated as questions about the existence of sections of line bundles or of more general coherent sheaves; such sections can be viewed as generalized
Coherent_sheaf_cohomology
In religion and philosophy, immaterial essence of a living being
interpretation of Milinda's Questions was often compared to David Hume's bundle theory. The Bible teaches that upon death, souls are immediately welcomed into
Soul
Construction for vector bundles
Determinant line bundles naturally arise in four-dimensional spinc structures and are therefore of central importance for Seiberg–Witten theory. Let X {\displaystyle
Determinant_line_bundle
bundle of a Riemannian manifold (M, g), denoted by T1M, UT(M), UTM, or SM is the unit sphere bundle for the tangent bundle T(M). It is a fiber bundle
Unit_tangent_bundle
Gauge theory with affine connections
Affine gauge theory is classical gauge theory where gauge fields are affine connections on the tangent bundle over a smooth manifold X {\displaystyle X}
Affine_gauge_theory
Construct in mathematics
Luo Twisted K-theory and K-theory of bundle gerbes Twisted Bundles and Twisted K-Theory - Karoubi Stable Singularities in String Theory - contains examples
Gerbe
Mathematical theories
vectors. Obstruction theory turns out to be an application of cohomology theory to the problem of constructing a section of a bundle. The older meaning
Obstruction_theory
Fiber bundle
the theory of fiber bundles with a structure group G {\displaystyle G} (a topological group) allows an operation of creating an associated bundle, in
Associated_bundle
Vector bundles theorem
geometry, and gauge theory, the Kobayashi–Hitchin correspondence (or Donaldson–Uhlenbeck–Yau theorem) relates stable vector bundles over a complex manifold
Kobayashi–Hitchin correspondence
Kobayashi–Hitchin_correspondence
Set on which a group acts freely and transitively
that of principal bundle: it means a principal bundle with base a single point. In other words the local theory of principal bundles is that of a family
Principal_homogeneous_space
be extended to an arbitrary vector bundle, and to some principal fiber bundles. This metric is often called a bundle metric, or fibre metric. If M is a
Bundle_metric
Principal bundle formulation of the Higgs field
classical gauge theory admits comprehensive geometric formulation where gauge fields are represented by connections on principal bundles. In this framework
Higgs_field_(classical)
Mathematical theory
developed a theory of positive line bundles and proved a Nakai–Moishezon type theorem for arithmetic surfaces. Further developments in the theory of positive
Arakelov_theory
Fred({\mathcal {H}})} . Then the K-theory of M {\displaystyle M} consists of the homotopy classes of sections of this bundle. We can make this yet more complicated
Twisted_K-theory
Topological spaces whose union is a boundary
Every vector bundle theory (real, complex etc.) has an extraordinary cohomology theory called K-theory. Similarly, every cobordism theory ΩG has an extraordinary
Cobordism
Principal fiber bundle
bundle is a fiber bundle where the fiber is the circle S 1 {\displaystyle S^{1}} . Oriented circle bundles are also known as principal U(1)-bundles,
Circle_bundle
Construct allowing differentiation of tangent vector fields of manifolds
simplest methods of defining differentiation of the sections of vector bundles. The notion of an affine connection has its roots in 19th-century geometry
Affine_connection
bundle gerbes and used this to define a K-theory for bundle gerbes. They then showed that this K-theory is isomorphic to Rosenberg's twisted K-theory
Bundle_gerbe
Attempt to extend Yang–Mills theory to gravity
of a principal bundle P → X {\displaystyle P\to X} leaving its base X {\displaystyle X} fixed. On the other hand, gravitation theory is built on the
Gauge_gravitation_theory
Concept in algebraic geometry
canonical bundle of a non-singular algebraic variety V {\displaystyle V} of dimension n {\displaystyle n} over a field is the line bundle Ω n = ω {\displaystyle
Canonical_bundle
Concept in economics and decision theory
over bundles. If an individual prefers bundle A to bundle B and bundle B to bundle C, then it can be assumed that the individual prefers bundle A to bundle
Utility
Concept in mathematics
a field of mathematics, a normal bundle is a particular kind of vector bundle, complementary to the tangent bundle, and coming from an embedding (or
Normal_bundle
Concept in algebraic geometry
an ample line bundle, although there are several related classes of line bundles. Roughly speaking, positivity properties of a line bundle are related to
Ample_line_bundle
Function in mathematics
connection theory using differential forms and Lie groups. An Ehresmann connection is a connection in a fibre bundle or a principal bundle by specifying
Connection_(mathematics)
20th-century tradition of Western philosophy
continuity. Derek Parfit in Reasons and Persons (1984) defends a kind of bundle theory of personal identity. Parfit issues the thought experiment of a case
Analytic_philosophy
In mathematics, an I-bundle is a fiber bundle whose fiber is an interval and whose base is a manifold. Any kind of interval, open, closed, semi-open, semi-closed
I-bundle
Concept in differential geometry
Riemannian holonomy has applications to physics and to string theory. Let E be a rank-k vector bundle over a smooth manifold M, and let ∇ be a connection on
Holonomy
Group of gauge symmetries in Yang–Mills theory
symmetries of the Yang–Mills gauge theory of principal connections on a principal bundle. Given a principal bundle P → X {\displaystyle P\to X} with a
Gauge_group_(mathematics)
Type of continuous map in topology
to the statement that π {\displaystyle \pi } is a locally trivial fiber bundle. Some authors also require that π {\displaystyle \pi } be surjective in
Covering_space
Concept in economics
has content for the theory. More precisely, if U ( x , y ) ≥ U ( x ′ , y ′ ) {\displaystyle U(x,y)\geq U(x',y')} , then the bundle ( x , y ) {\displaystyle
Indifference_curve
Set of topological invariants
of a real vector bundle that describe the obstructions to constructing everywhere independent sets of sections of the vector bundle. Stiefel–Whitney classes
Stiefel–Whitney_class
BUNDLE THEORY
BUNDLE THEORY
Surname or Lastname
English
English : nickname from a diminutive of Rudd ‘red’.English : habitational name from a place called Ruddle, near Newnham in Gloucestershire.
Surname or Lastname
English
English : variant of Yandell.
Surname or Lastname
English (Essex, Cambridgeshire)
English (Essex, Cambridgeshire) : possibly a variant of Trendall, a topographic name for someone who lived by a well, earhwork, stone circle, or other circular feature, from Middle English trendel, trandle ‘circle’ (Old English trendel).Possibly an altered spelling of South German Tröndle, a variant of Trendle, a nickname for a tearful person, from Träne ‘tear’ + the diminutive suffix -l.
Surname or Lastname
English
English : probably a metonymic occupational name for a hurdle maker, from Middle English herdle, hurdel ‘hurdle’.
Surname or Lastname
North German
North German : metonymic occupational name for a cooper, from Middle Low German budde ‘tub’, ‘vat’. Compare Buettner.German and Danish : from a derivative of the Germanic personal name Bodo, cognate with English Budd.English : variant spelling of Budd.
Surname or Lastname
English (Lancashire and Yorkshire)
English (Lancashire and Yorkshire) : habitational name from Windhill in West Yorkshire or Windle in Lancashire, both named from Old English wind ‘wind’ + hyll ‘hill’, i.e. a mound exposed to fierce gusts. There is a Windhill in Kent (with the same etymology), but this does not appear to have contributed significantly to the modern surname.
Surname or Lastname
English (Lancashire)
English (Lancashire) : topographic name from Old English hind ‘female deer’ + Old English dæl ‘valley’.English (Lancashire) : habitational name from a place in the parish of Whalley, Lancashire, so called from the same first element + Old English hyll ‘hill’.
Surname or Lastname
German (Bünte)
German (Bünte) : most likely a variant of Bünde (see Bunde 2).English : variant spelling of Bunt.
Surname or Lastname
English
English : topographic name for someone who lived or worked at a particular large house, from Old English boðl, botl ‘dwelling house’, ‘hall’, or a habitational name for someone who came from a place named with this element, probably Bodle Street near Hailsham, Sussex.
Surname or Lastname
English (Worcestershire)
English (Worcestershire) : probably a variant of Hindley or Handley.
Surname or Lastname
English (Lancashire)
English (Lancashire) : habitational name from a place in Lancashire named Brindle, from Old English burna ‘stream’ + hyll ‘hill’.Altered spelling of South German Brindl, Bründl, a topographic name for someone who lived by a spring or stream, from a diminutive of Middle High German brun(ne) ‘spring’, ‘stream’, or of Brendle or Brendel.
Surname or Lastname
English
English : from a pet form of the medieval personal name Hudde (see Hutt 1).
Surname or Lastname
English
English : variant spelling of Beadle.
Surname or Lastname
English (mainly Wales)
English (mainly Wales) : variant of Benthall.In some cases, probably an altered spelling of German Bendel.
Surname or Lastname
English
English : occupational name for a medieval court official, from Middle English bedele (Old English bydel, reinforced by Old French bedel). The word is of Germanic origin, and akin to Old English bēodan ‘to command’ and Old High German bodo ‘messenger’. In the Middle Ages a beadle in England and France was a junior official of a court of justice, responsible for acting as an usher in a court, carrying the mace in processions in front of a justice, delivering official notices, making proclamations (as a sort of town crier), and so on. By Shakespeare’s day a beadle was a sort of village constable, appointed by the parish to keep order.
Boy/Male
Indian
Bundle of Joy
Surname or Lastname
English
English : variant of Rundell.Respelling of German Rundel.
Surname or Lastname
English
English : variant spelling of Bond.Scandinavian : status name for a farmer, from Old Norse bóndi ‘farmer’. Compare Bond. In Sweden Bonde is both a personal name and the name of an old aristocratic family.Norwegian : habitational name from a farmstead named Bonde, from Old Norse bóndi ‘farmer’ + vin ‘meadow’.
Surname or Lastname
English
English : variant of Kendall.Variant of German Kindel.
Surname or Lastname
English
English : variant spelling of Kendall.South German : possibly from Kindel or Kindl (from a diminutive of Middle High German kint ‘child’), a nickname for a childish or childlike person.Possibly an altered spelling of German Kendler, variant of Kandler.
BUNDLE THEORY
BUNDLE THEORY
Boy/Male
Hindu, Indian
Deep Person
Male
Basque
, God's judge.
Boy/Male
Indian
Girl/Female
Australian, British, English, French, German, Latin, Scandinavian, Spanish
Peaceful Ruler; Female Version of Eric; Ruler Forever; Rich
Boy/Male
Tamil
Pritish | பà¯à®°à¯€à®¤à¯€à®·
God of Love, Lord of the world
Girl/Female
Muslim/Islamic
Pure clean
Girl/Female
Australian, Hebrew
Close to God
Boy/Male
Greek Russian
Defender of man.
Girl/Female
Hindu, Indian
Different Style
Boy/Male
Hindu, Indian, Punjabi, Sikh
Holy Place; Sacred Water; Wielder of the Sword
BUNDLE THEORY
BUNDLE THEORY
BUNDLE THEORY
BUNDLE THEORY
BUNDLE THEORY
v. t.
To roll (a thing) on little wheels; as, to trundle a bed or a gun carriage.
n.
To fasten or confine with a buckle or buckles; as, to buckle a harness.
v. t.
To make impervious to liquids by means of puddle; to apply puddle to.
v. t.
To mark with ruddle; to raddle; to rouge.
v. t.
To restrain, guide, or govern, with, or as with, a bridle; to check, curb, or control; as, to bridle the passions; to bridle a muse.
p. pr. & vb. n.
of Bundle
n.
A number of things bound together, as by a cord or envelope, into a mass or package convenient for handling or conveyance; a loose package; a roll; as, a bundle of straw or of paper; a bundle of old clothes.
n.
A clumsy, awkward workman; one who bungles.
v. t.
To embrace closely; to fondle.
v. i.
To wash ore in a buddle.
v. t.
To put a bridle upon; to equip with a bridle; as, to bridle a horse.
imp. & p. p.
of Bungle
v. i.
To change into curd; to coagulate; as, rennet causes milk to curdle.
v. t.
To fondle; to dandle.
v. t.
To tie or bind in a bundle or roll.
v. t.
To draw up into a bundle; to roll up.
v. t.
To do, make, or put, in haste or roughly; hence, to do imperfectly; -- usually with a following preposition or adverb; as, to huddle on; to huddle up; to huddle together.
imp. & p. p.
of Bundle
v. t.
To release, as from a bundle; to disclose.
v. t.
To treat with fondness, as if a child; to fondle; to toy with; to pet.