Formulations of children＇s rights rest on assumptions about the nature of childhood yet conceptions of childhood are not stable across time and space. Such conceptions can be understood as placing different emphases ...Formulations of children＇s rights rest on assumptions about the nature of childhood yet conceptions of childhood are not stable across time and space. Such conceptions can be understood as placing different emphases among three different factors： the child as subservient to parents and ancestors （Child 1）, as a young person requiring special protection and having characteristics distinct from adults （Child 2） and as a novice （Child 3）. Different social arrangements place relatively different emphases on these three factors in their overall conceptions of childhood. Adopting the distinction between Will and Interest rights （Archard 2002）, the paper considers how an emphasis on Child 1, 2 or 3 presupposes and demands a distinctive consideration of children＇s rights. The argument concludes with a reflection on how children＇s rights might be construed if the nature of adulthood is problematised alongside that of childhood. In this case, capabilities （as means to enable functionings） may prove a more fruitful concept than rights （as actual or possible existential conditions）.展开更多
For a set A of nonnegative integers, the representation functions R2(A,n) and R3(A,n) are defined as the numbers of solutions to the equation n = a + a′ with a,a′∈ A, a < a′ and a a′, respectively. Let N be th...For a set A of nonnegative integers, the representation functions R2(A,n) and R3(A,n) are defined as the numbers of solutions to the equation n = a + a′ with a,a′∈ A, a < a′ and a a′, respectively. Let N be the set of nonnegative integers. Given n0 > 0, it is known that there exist A,A′■ N such that R2(A′,n) = R2(N \ A′,n) and R3(A,n) = R3(N \ A,n) for all n n0. We obtain several related results. For example, we prove that: If A ■ N such that R3(A,n) = R3(N \ A,n) for all n n0, then (1) for any n n0 we have R3(A,n) = R3(N \ A,n) > c1n - c2, where c1,c2 are two positive constants depending only on n0; (2) for any α < 116, the set of integers n with R3(A,n) > αn has the density one. The answers to the four problems in Chen-Tang (2009) are affirmative. We also pose two open problems for further research.展开更多
文摘Formulations of children＇s rights rest on assumptions about the nature of childhood yet conceptions of childhood are not stable across time and space. Such conceptions can be understood as placing different emphases among three different factors： the child as subservient to parents and ancestors （Child 1）, as a young person requiring special protection and having characteristics distinct from adults （Child 2） and as a novice （Child 3）. Different social arrangements place relatively different emphases on these three factors in their overall conceptions of childhood. Adopting the distinction between Will and Interest rights （Archard 2002）, the paper considers how an emphasis on Child 1, 2 or 3 presupposes and demands a distinctive consideration of children＇s rights. The argument concludes with a reflection on how children＇s rights might be construed if the nature of adulthood is problematised alongside that of childhood. In this case, capabilities （as means to enable functionings） may prove a more fruitful concept than rights （as actual or possible existential conditions）.
基金supported by National Natural Science Foundation of China (Grant No.11071121)
文摘For a set A of nonnegative integers, the representation functions R2(A,n) and R3(A,n) are defined as the numbers of solutions to the equation n = a + a′ with a,a′∈ A, a < a′ and a a′, respectively. Let N be the set of nonnegative integers. Given n0 > 0, it is known that there exist A,A′■ N such that R2(A′,n) = R2(N \ A′,n) and R3(A,n) = R3(N \ A,n) for all n n0. We obtain several related results. For example, we prove that: If A ■ N such that R3(A,n) = R3(N \ A,n) for all n n0, then (1) for any n n0 we have R3(A,n) = R3(N \ A,n) > c1n - c2, where c1,c2 are two positive constants depending only on n0; (2) for any α < 116, the set of integers n with R3(A,n) > αn has the density one. The answers to the four problems in Chen-Tang (2009) are affirmative. We also pose two open problems for further research.
