(a) Advancing to a city, town or school district, pursuant to law, the amount of unpaid taxes.

(b) Financing tax refunds required to be made by section seven hundred twenty-six of the real property tax law.

(c) Paying to the state the state tax levied against such county. 2. A town from contracting indebtedness for the following purposes:

(a) Advancing to a county or school district, pursuant to law, the amount of unpaid taxes.

(b) Paying to a county such town's share of the state tax levied against such county if such town is required by law to levy and collect such tax. 3. A city from contracting indebtedness for the following purposes:

(a) Advancing to a county or school district, pursuant to law, the amount of unpaid taxes.

(b) Paying to a county such city's share of the state tax levied against such county if such city is required by law to levy and collect such tax. 4. A municipality from making such provision for the aid, care and support of the needy, including the aid, care and support of neglected and dependent children and of the needy sick, as may be authorized by law. 5. A county, city or town from providing, pursuant to law, for the care, support, maintenance and secular education of inmates of orphan asylums, homes for dependent children or correctional institutions and of children placed in family homes by authorized agencies, whether under public or private control. 6. A municipality or school district, when authorized by law, from using its credit for

(a) The examination or inspection of any school or institution of learning wholly or in part under the control or direction of any religious denomination, or in which any denominational tenet or doctrine is taught, or

(b) The transportation of children to and from any school or institution of learning. 7. A city, town or village from giving or loaning its credit when authorized to do so by the legislature pursuant to the provisions of article eighteen of the state constitution. 8. A county, city or town from increasing, pursuant to law, pension benefits payable to retired members of a police department or fire department or to widows, dependent children or dependent parents of members or retired members of a police department or fire department. 9. A municipality, school district or district corporation from increasing, pursuant to law, the amount of pension of any member of a retirement system of the state, or of a subdivision of the state. 10. A municipality, school district or district corporation from providing, pursuant to law, for the protection by insurance or otherwise against the hazards of unemployment, sickness and old age. 11. A municipality or school district from providing, pursuant to law, for the education and support of the blind, the deaf, the mute, the physically handicapped and juvenile delinquents or for health and welfare services for all children. 12. A city, town or village from expending or loaning its money, property or credit as consideration for the effectuation of all or part of the public purpose provided for in sections eleven-a and thirty-six-a of the private housing finance law. 13. A municipality from making loans of money or credit to or in aid of any eligible corporation or association for the purpose of providing hospital or other facilities for the prevention, diagnosis or treatment of human disease, pain, injury, disability, deformity or physical condition, and for facilities incidental or appurtenant thereto, as may be authorized by law pursuant to section seven of article seventeen of the state constitution.